2x-3+8=7(x-1-2x)

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Solution for 2x-3+8=7(x-1-2x) equation:


Simplifying
2x + -3 + 8 = 7(x + -1 + -2x)

Reorder the terms:
-3 + 8 + 2x = 7(x + -1 + -2x)

Combine like terms: -3 + 8 = 5
5 + 2x = 7(x + -1 + -2x)

Reorder the terms:
5 + 2x = 7(-1 + x + -2x)

Combine like terms: x + -2x = -1x
5 + 2x = 7(-1 + -1x)
5 + 2x = (-1 * 7 + -1x * 7)
5 + 2x = (-7 + -7x)

Solving
5 + 2x = -7 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
5 + 2x + 7x = -7 + -7x + 7x

Combine like terms: 2x + 7x = 9x
5 + 9x = -7 + -7x + 7x

Combine like terms: -7x + 7x = 0
5 + 9x = -7 + 0
5 + 9x = -7

Add '-5' to each side of the equation.
5 + -5 + 9x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 9x = -7 + -5
9x = -7 + -5

Combine like terms: -7 + -5 = -12
9x = -12

Divide each side by '9'.
x = -1.333333333

Simplifying
x = -1.333333333

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