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

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


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

Combine like terms: 4 + -3 = 1
4(1 + 2x) + 2 = 2(5x + 3) + -2
(1 * 4 + 2x * 4) + 2 = 2(5x + 3) + -2
(4 + 8x) + 2 = 2(5x + 3) + -2

Reorder the terms:
4 + 2 + 8x = 2(5x + 3) + -2

Combine like terms: 4 + 2 = 6
6 + 8x = 2(5x + 3) + -2

Reorder the terms:
6 + 8x = 2(3 + 5x) + -2
6 + 8x = (3 * 2 + 5x * 2) + -2
6 + 8x = (6 + 10x) + -2

Reorder the terms:
6 + 8x = 6 + -2 + 10x

Combine like terms: 6 + -2 = 4
6 + 8x = 4 + 10x

Solving
6 + 8x = 4 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 8x + -10x = 4 + 10x + -10x

Combine like terms: 8x + -10x = -2x
6 + -2x = 4 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -2x = 4 + 0
6 + -2x = 4

Add '-6' to each side of the equation.
6 + -6 + -2x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 4 + -6
-2x = 4 + -6

Combine like terms: 4 + -6 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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