6(3x-1)-8x=140+2(x-1)

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Solution for 6(3x-1)-8x=140+2(x-1) equation:


Simplifying
6(3x + -1) + -8x = 140 + 2(x + -1)

Reorder the terms:
6(-1 + 3x) + -8x = 140 + 2(x + -1)
(-1 * 6 + 3x * 6) + -8x = 140 + 2(x + -1)
(-6 + 18x) + -8x = 140 + 2(x + -1)

Combine like terms: 18x + -8x = 10x
-6 + 10x = 140 + 2(x + -1)

Reorder the terms:
-6 + 10x = 140 + 2(-1 + x)
-6 + 10x = 140 + (-1 * 2 + x * 2)
-6 + 10x = 140 + (-2 + 2x)

Combine like terms: 140 + -2 = 138
-6 + 10x = 138 + 2x

Solving
-6 + 10x = 138 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 10x + -2x = 138 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-6 + 8x = 138 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 8x = 138 + 0
-6 + 8x = 138

Add '6' to each side of the equation.
-6 + 6 + 8x = 138 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 138 + 6
8x = 138 + 6

Combine like terms: 138 + 6 = 144
8x = 144

Divide each side by '8'.
x = 18

Simplifying
x = 18

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