7(x-9)+6(4x-7)=30(x-4)-3

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Solution for 7(x-9)+6(4x-7)=30(x-4)-3 equation:


Simplifying
7(x + -9) + 6(4x + -7) = 30(x + -4) + -3

Reorder the terms:
7(-9 + x) + 6(4x + -7) = 30(x + -4) + -3
(-9 * 7 + x * 7) + 6(4x + -7) = 30(x + -4) + -3
(-63 + 7x) + 6(4x + -7) = 30(x + -4) + -3

Reorder the terms:
-63 + 7x + 6(-7 + 4x) = 30(x + -4) + -3
-63 + 7x + (-7 * 6 + 4x * 6) = 30(x + -4) + -3
-63 + 7x + (-42 + 24x) = 30(x + -4) + -3

Reorder the terms:
-63 + -42 + 7x + 24x = 30(x + -4) + -3

Combine like terms: -63 + -42 = -105
-105 + 7x + 24x = 30(x + -4) + -3

Combine like terms: 7x + 24x = 31x
-105 + 31x = 30(x + -4) + -3

Reorder the terms:
-105 + 31x = 30(-4 + x) + -3
-105 + 31x = (-4 * 30 + x * 30) + -3
-105 + 31x = (-120 + 30x) + -3

Reorder the terms:
-105 + 31x = -120 + -3 + 30x

Combine like terms: -120 + -3 = -123
-105 + 31x = -123 + 30x

Solving
-105 + 31x = -123 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-105 + 31x + -30x = -123 + 30x + -30x

Combine like terms: 31x + -30x = 1x
-105 + 1x = -123 + 30x + -30x

Combine like terms: 30x + -30x = 0
-105 + 1x = -123 + 0
-105 + 1x = -123

Add '105' to each side of the equation.
-105 + 105 + 1x = -123 + 105

Combine like terms: -105 + 105 = 0
0 + 1x = -123 + 105
1x = -123 + 105

Combine like terms: -123 + 105 = -18
1x = -18

Divide each side by '1'.
x = -18

Simplifying
x = -18

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