5x-3(x-2)=-8+4x+2

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Solution for 5x-3(x-2)=-8+4x+2 equation:


Simplifying
5x + -3(x + -2) = -8 + 4x + 2

Reorder the terms:
5x + -3(-2 + x) = -8 + 4x + 2
5x + (-2 * -3 + x * -3) = -8 + 4x + 2
5x + (6 + -3x) = -8 + 4x + 2

Reorder the terms:
6 + 5x + -3x = -8 + 4x + 2

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

Reorder the terms:
6 + 2x = -8 + 2 + 4x

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

Solving
6 + 2x = -6 + 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.
6 + 2x + -4x = -6 + 4x + -4x

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

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

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

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

Combine like terms: -6 + -6 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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