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

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


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

Reorder the terms:
3 + 5x = 2(2x + -2) + 7

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

Reorder the terms:
3 + 5x = -4 + 7 + 4x

Combine like terms: -4 + 7 = 3
3 + 5x = 3 + 4x

Add '-3' to each side of the equation.
3 + -3 + 5x = 3 + -3 + 4x

Combine like terms: 3 + -3 = 0
0 + 5x = 3 + -3 + 4x
5x = 3 + -3 + 4x

Combine like terms: 3 + -3 = 0
5x = 0 + 4x
5x = 4x

Solving
5x = 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.
5x + -4x = 4x + -4x

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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