12(3x-4)+5(6x-7)+8(9x+10)+11(12x+13)+14(15x+16)+17(18x-19)=617837

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Solution for 12(3x-4)+5(6x-7)+8(9x+10)+11(12x+13)+14(15x+16)+17(18x-19)=617837 equation:


Simplifying
12(3x + -4) + 5(6x + -7) + 8(9x + 10) + 11(12x + 13) + 14(15x + 16) + 17(18x + -19) = 617837

Reorder the terms:
12(-4 + 3x) + 5(6x + -7) + 8(9x + 10) + 11(12x + 13) + 14(15x + 16) + 17(18x + -19) = 617837
(-4 * 12 + 3x * 12) + 5(6x + -7) + 8(9x + 10) + 11(12x + 13) + 14(15x + 16) + 17(18x + -19) = 617837
(-48 + 36x) + 5(6x + -7) + 8(9x + 10) + 11(12x + 13) + 14(15x + 16) + 17(18x + -19) = 617837

Reorder the terms:
-48 + 36x + 5(-7 + 6x) + 8(9x + 10) + 11(12x + 13) + 14(15x + 16) + 17(18x + -19) = 617837
-48 + 36x + (-7 * 5 + 6x * 5) + 8(9x + 10) + 11(12x + 13) + 14(15x + 16) + 17(18x + -19) = 617837
-48 + 36x + (-35 + 30x) + 8(9x + 10) + 11(12x + 13) + 14(15x + 16) + 17(18x + -19) = 617837

Reorder the terms:
-48 + 36x + -35 + 30x + 8(10 + 9x) + 11(12x + 13) + 14(15x + 16) + 17(18x + -19) = 617837
-48 + 36x + -35 + 30x + (10 * 8 + 9x * 8) + 11(12x + 13) + 14(15x + 16) + 17(18x + -19) = 617837
-48 + 36x + -35 + 30x + (80 + 72x) + 11(12x + 13) + 14(15x + 16) + 17(18x + -19) = 617837

Reorder the terms:
-48 + 36x + -35 + 30x + 80 + 72x + 11(13 + 12x) + 14(15x + 16) + 17(18x + -19) = 617837
-48 + 36x + -35 + 30x + 80 + 72x + (13 * 11 + 12x * 11) + 14(15x + 16) + 17(18x + -19) = 617837
-48 + 36x + -35 + 30x + 80 + 72x + (143 + 132x) + 14(15x + 16) + 17(18x + -19) = 617837

Reorder the terms:
-48 + 36x + -35 + 30x + 80 + 72x + 143 + 132x + 14(16 + 15x) + 17(18x + -19) = 617837
-48 + 36x + -35 + 30x + 80 + 72x + 143 + 132x + (16 * 14 + 15x * 14) + 17(18x + -19) = 617837
-48 + 36x + -35 + 30x + 80 + 72x + 143 + 132x + (224 + 210x) + 17(18x + -19) = 617837

Reorder the terms:
-48 + 36x + -35 + 30x + 80 + 72x + 143 + 132x + 224 + 210x + 17(-19 + 18x) = 617837
-48 + 36x + -35 + 30x + 80 + 72x + 143 + 132x + 224 + 210x + (-19 * 17 + 18x * 17) = 617837
-48 + 36x + -35 + 30x + 80 + 72x + 143 + 132x + 224 + 210x + (-323 + 306x) = 617837

Reorder the terms:
-48 + -35 + 80 + 143 + 224 + -323 + 36x + 30x + 72x + 132x + 210x + 306x = 617837

Combine like terms: -48 + -35 = -83
-83 + 80 + 143 + 224 + -323 + 36x + 30x + 72x + 132x + 210x + 306x = 617837

Combine like terms: -83 + 80 = -3
-3 + 143 + 224 + -323 + 36x + 30x + 72x + 132x + 210x + 306x = 617837

Combine like terms: -3 + 143 = 140
140 + 224 + -323 + 36x + 30x + 72x + 132x + 210x + 306x = 617837

Combine like terms: 140 + 224 = 364
364 + -323 + 36x + 30x + 72x + 132x + 210x + 306x = 617837

Combine like terms: 364 + -323 = 41
41 + 36x + 30x + 72x + 132x + 210x + 306x = 617837

Combine like terms: 36x + 30x = 66x
41 + 66x + 72x + 132x + 210x + 306x = 617837

Combine like terms: 66x + 72x = 138x
41 + 138x + 132x + 210x + 306x = 617837

Combine like terms: 138x + 132x = 270x
41 + 270x + 210x + 306x = 617837

Combine like terms: 270x + 210x = 480x
41 + 480x + 306x = 617837

Combine like terms: 480x + 306x = 786x
41 + 786x = 617837

Solving
41 + 786x = 617837

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-41' to each side of the equation.
41 + -41 + 786x = 617837 + -41

Combine like terms: 41 + -41 = 0
0 + 786x = 617837 + -41
786x = 617837 + -41

Combine like terms: 617837 + -41 = 617796
786x = 617796

Divide each side by '786'.
x = 786

Simplifying
x = 786

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