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

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


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

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

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

Combine like terms: 4 + 7 = 11
11 + 7x + -8x = -2(1 + -2x) + 3

Combine like terms: 7x + -8x = -1x
11 + -1x = -2(1 + -2x) + 3
11 + -1x = (1 * -2 + -2x * -2) + 3
11 + -1x = (-2 + 4x) + 3

Reorder the terms:
11 + -1x = -2 + 3 + 4x

Combine like terms: -2 + 3 = 1
11 + -1x = 1 + 4x

Solving
11 + -1x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
11 + -1x + -4x = 1 + 4x + -4x

Combine like terms: -1x + -4x = -5x
11 + -5x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -5x = 1 + 0
11 + -5x = 1

Add '-11' to each side of the equation.
11 + -11 + -5x = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = 1 + -11
-5x = 1 + -11

Combine like terms: 1 + -11 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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