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

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


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

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

Reorder the terms:
26 + 52x = 18(7 + 10x) + 9(6x * 1)
26 + 52x = (7 * 18 + 10x * 18) + 9(6x * 1)
26 + 52x = (126 + 180x) + 9(6x * 1)

Reorder the terms for easier multiplication:
26 + 52x = 126 + 180x + 9(6 * 1x)

Multiply 6 * 1
26 + 52x = 126 + 180x + 9(6x)

Remove parenthesis around (6x)
26 + 52x = 126 + 180x + 9 * 6x

Multiply 9 * 6
26 + 52x = 126 + 180x + 54x

Combine like terms: 180x + 54x = 234x
26 + 52x = 126 + 234x

Solving
26 + 52x = 126 + 234x

Solving for variable 'x'.

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

Add '-234x' to each side of the equation.
26 + 52x + -234x = 126 + 234x + -234x

Combine like terms: 52x + -234x = -182x
26 + -182x = 126 + 234x + -234x

Combine like terms: 234x + -234x = 0
26 + -182x = 126 + 0
26 + -182x = 126

Add '-26' to each side of the equation.
26 + -26 + -182x = 126 + -26

Combine like terms: 26 + -26 = 0
0 + -182x = 126 + -26
-182x = 126 + -26

Combine like terms: 126 + -26 = 100
-182x = 100

Divide each side by '-182'.
x = -0.5494505495

Simplifying
x = -0.5494505495

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