13(4x+2)-9(6x-1)=18(10x+7)

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Solution for 13(4x+2)-9(6x-1)=18(10x+7) equation:


Simplifying
13(4x + 2) + -9(6x + -1) = 18(10x + 7)

Reorder the terms:
13(2 + 4x) + -9(6x + -1) = 18(10x + 7)
(2 * 13 + 4x * 13) + -9(6x + -1) = 18(10x + 7)
(26 + 52x) + -9(6x + -1) = 18(10x + 7)

Reorder the terms:
26 + 52x + -9(-1 + 6x) = 18(10x + 7)
26 + 52x + (-1 * -9 + 6x * -9) = 18(10x + 7)
26 + 52x + (9 + -54x) = 18(10x + 7)

Reorder the terms:
26 + 9 + 52x + -54x = 18(10x + 7)

Combine like terms: 26 + 9 = 35
35 + 52x + -54x = 18(10x + 7)

Combine like terms: 52x + -54x = -2x
35 + -2x = 18(10x + 7)

Reorder the terms:
35 + -2x = 18(7 + 10x)
35 + -2x = (7 * 18 + 10x * 18)
35 + -2x = (126 + 180x)

Solving
35 + -2x = 126 + 180x

Solving for variable 'x'.

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

Add '-180x' to each side of the equation.
35 + -2x + -180x = 126 + 180x + -180x

Combine like terms: -2x + -180x = -182x
35 + -182x = 126 + 180x + -180x

Combine like terms: 180x + -180x = 0
35 + -182x = 126 + 0
35 + -182x = 126

Add '-35' to each side of the equation.
35 + -35 + -182x = 126 + -35

Combine like terms: 35 + -35 = 0
0 + -182x = 126 + -35
-182x = 126 + -35

Combine like terms: 126 + -35 = 91
-182x = 91

Divide each side by '-182'.
x = -0.5

Simplifying
x = -0.5

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