2(6x-4)+7(x+7)=2(x+9)-(x+8)

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Solution for 2(6x-4)+7(x+7)=2(x+9)-(x+8) equation:


Simplifying
2(6x + -4) + 7(x + 7) = 2(x + 9) + -1(x + 8)

Reorder the terms:
2(-4 + 6x) + 7(x + 7) = 2(x + 9) + -1(x + 8)
(-4 * 2 + 6x * 2) + 7(x + 7) = 2(x + 9) + -1(x + 8)
(-8 + 12x) + 7(x + 7) = 2(x + 9) + -1(x + 8)

Reorder the terms:
-8 + 12x + 7(7 + x) = 2(x + 9) + -1(x + 8)
-8 + 12x + (7 * 7 + x * 7) = 2(x + 9) + -1(x + 8)
-8 + 12x + (49 + 7x) = 2(x + 9) + -1(x + 8)

Reorder the terms:
-8 + 49 + 12x + 7x = 2(x + 9) + -1(x + 8)

Combine like terms: -8 + 49 = 41
41 + 12x + 7x = 2(x + 9) + -1(x + 8)

Combine like terms: 12x + 7x = 19x
41 + 19x = 2(x + 9) + -1(x + 8)

Reorder the terms:
41 + 19x = 2(9 + x) + -1(x + 8)
41 + 19x = (9 * 2 + x * 2) + -1(x + 8)
41 + 19x = (18 + 2x) + -1(x + 8)

Reorder the terms:
41 + 19x = 18 + 2x + -1(8 + x)
41 + 19x = 18 + 2x + (8 * -1 + x * -1)
41 + 19x = 18 + 2x + (-8 + -1x)

Reorder the terms:
41 + 19x = 18 + -8 + 2x + -1x

Combine like terms: 18 + -8 = 10
41 + 19x = 10 + 2x + -1x

Combine like terms: 2x + -1x = 1x
41 + 19x = 10 + 1x

Solving
41 + 19x = 10 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
41 + 19x + -1x = 10 + 1x + -1x

Combine like terms: 19x + -1x = 18x
41 + 18x = 10 + 1x + -1x

Combine like terms: 1x + -1x = 0
41 + 18x = 10 + 0
41 + 18x = 10

Add '-41' to each side of the equation.
41 + -41 + 18x = 10 + -41

Combine like terms: 41 + -41 = 0
0 + 18x = 10 + -41
18x = 10 + -41

Combine like terms: 10 + -41 = -31
18x = -31

Divide each side by '18'.
x = -1.722222222

Simplifying
x = -1.722222222

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