-7(2x-1)+8x-2x+3=4x-7(x-1)

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Solution for -7(2x-1)+8x-2x+3=4x-7(x-1) equation:


Simplifying
-7(2x + -1) + 8x + -2x + 3 = 4x + -7(x + -1)

Reorder the terms:
-7(-1 + 2x) + 8x + -2x + 3 = 4x + -7(x + -1)
(-1 * -7 + 2x * -7) + 8x + -2x + 3 = 4x + -7(x + -1)
(7 + -14x) + 8x + -2x + 3 = 4x + -7(x + -1)

Reorder the terms:
7 + 3 + -14x + 8x + -2x = 4x + -7(x + -1)

Combine like terms: 7 + 3 = 10
10 + -14x + 8x + -2x = 4x + -7(x + -1)

Combine like terms: -14x + 8x = -6x
10 + -6x + -2x = 4x + -7(x + -1)

Combine like terms: -6x + -2x = -8x
10 + -8x = 4x + -7(x + -1)

Reorder the terms:
10 + -8x = 4x + -7(-1 + x)
10 + -8x = 4x + (-1 * -7 + x * -7)
10 + -8x = 4x + (7 + -7x)

Reorder the terms:
10 + -8x = 7 + 4x + -7x

Combine like terms: 4x + -7x = -3x
10 + -8x = 7 + -3x

Solving
10 + -8x = 7 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + -8x + 3x = 7 + -3x + 3x

Combine like terms: -8x + 3x = -5x
10 + -5x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + -5x = 7 + 0
10 + -5x = 7

Add '-10' to each side of the equation.
10 + -10 + -5x = 7 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 7 + -10
-5x = 7 + -10

Combine like terms: 7 + -10 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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