4x-8=5x-2(x+2)

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Solution for 4x-8=5x-2(x+2) equation:


Simplifying
4x + -8 = 5x + -2(x + 2)

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

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

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

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

Solving
-8 + 4x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 4x + -3x = -4 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-8 + 1x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 1x = -4 + 0
-8 + 1x = -4

Add '8' to each side of the equation.
-8 + 8 + 1x = -4 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -4 + 8
1x = -4 + 8

Combine like terms: -4 + 8 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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