10(x-7)-8=18x-126

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Solution for 10(x-7)-8=18x-126 equation: 


Simplifying
10(x + -7) + -8 = 18x + -126

Reorder the terms:
10(-7 + x) + -8 = 18x + -126
(-7 * 10 + x * 10) + -8 = 18x + -126
(-70 + 10x) + -8 = 18x + -126

Reorder the terms:
-70 + -8 + 10x = 18x + -126

Combine like terms: -70 + -8 = -78
-78 + 10x = 18x + -126

Reorder the terms:
-78 + 10x = -126 + 18x

Solving
-78 + 10x = -126 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-78 + 10x + -18x = -126 + 18x + -18x

Combine like terms: 10x + -18x = -8x
-78 + -8x = -126 + 18x + -18x

Combine like terms: 18x + -18x = 0
-78 + -8x = -126 + 0
-78 + -8x = -126

Add '78' to each side of the equation.
-78 + 78 + -8x = -126 + 78

Combine like terms: -78 + 78 = 0
0 + -8x = -126 + 78
-8x = -126 + 78

Combine like terms: -126 + 78 = -48
-8x = -48

Divide each side by '-8'.
x = 6

Simplifying
x = 6

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