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

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


Simplifying
2(4 + 2(3 + -1x) + -2x) = 4x + -7
2(4 + (3 * 2 + -1x * 2) + -2x) = 4x + -7
2(4 + (6 + -2x) + -2x) = 4x + -7

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

Combine like terms: -2x + -2x = -4x
2(10 + -4x) = 4x + -7
(10 * 2 + -4x * 2) = 4x + -7
(20 + -8x) = 4x + -7

Reorder the terms:
20 + -8x = -7 + 4x

Solving
20 + -8x = -7 + 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.
20 + -8x + -4x = -7 + 4x + -4x

Combine like terms: -8x + -4x = -12x
20 + -12x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -12x = -7 + 0
20 + -12x = -7

Add '-20' to each side of the equation.
20 + -20 + -12x = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -12x = -7 + -20
-12x = -7 + -20

Combine like terms: -7 + -20 = -27
-12x = -27

Divide each side by '-12'.
x = 2.25

Simplifying
x = 2.25

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