4(2x+3)-x=7-2(5-2x)

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Solution for 4(2x+3)-x=7-2(5-2x) equation: 


Simplifying
4(2x + 3) + -1x = 7 + -2(5 + -2x)

Reorder the terms:
4(3 + 2x) + -1x = 7 + -2(5 + -2x)
(3 * 4 + 2x * 4) + -1x = 7 + -2(5 + -2x)
(12 + 8x) + -1x = 7 + -2(5 + -2x)

Combine like terms: 8x + -1x = 7x
12 + 7x = 7 + -2(5 + -2x)
12 + 7x = 7 + (5 * -2 + -2x * -2)
12 + 7x = 7 + (-10 + 4x)

Combine like terms: 7 + -10 = -3
12 + 7x = -3 + 4x

Solving
12 + 7x = -3 + 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.
12 + 7x + -4x = -3 + 4x + -4x

Combine like terms: 7x + -4x = 3x
12 + 3x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 3x = -3 + 0
12 + 3x = -3

Add '-12' to each side of the equation.
12 + -12 + 3x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = -3 + -12
3x = -3 + -12

Combine like terms: -3 + -12 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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