3(x-1)-2(2x-1)=8(x-1)

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


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

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

Reorder the terms:
-3 + 3x + -2(-1 + 2x) = 8(x + -1)
-3 + 3x + (-1 * -2 + 2x * -2) = 8(x + -1)
-3 + 3x + (2 + -4x) = 8(x + -1)

Reorder the terms:
-3 + 2 + 3x + -4x = 8(x + -1)

Combine like terms: -3 + 2 = -1
-1 + 3x + -4x = 8(x + -1)

Combine like terms: 3x + -4x = -1x
-1 + -1x = 8(x + -1)

Reorder the terms:
-1 + -1x = 8(-1 + x)
-1 + -1x = (-1 * 8 + x * 8)
-1 + -1x = (-8 + 8x)

Solving
-1 + -1x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-1 + -1x + -8x = -8 + 8x + -8x

Combine like terms: -1x + -8x = -9x
-1 + -9x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -9x = -8 + 0
-1 + -9x = -8

Add '1' to each side of the equation.
-1 + 1 + -9x = -8 + 1

Combine like terms: -1 + 1 = 0
0 + -9x = -8 + 1
-9x = -8 + 1

Combine like terms: -8 + 1 = -7
-9x = -7

Divide each side by '-9'.
x = 0.7777777778

Simplifying
x = 0.7777777778

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