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

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


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

Reorder the terms:
5(-4 + x) + -2 = 2 + 3x
(-4 * 5 + x * 5) + -2 = 2 + 3x
(-20 + 5x) + -2 = 2 + 3x

Reorder the terms:
-20 + -2 + 5x = 2 + 3x

Combine like terms: -20 + -2 = -22
-22 + 5x = 2 + 3x

Solving
-22 + 5x = 2 + 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.
-22 + 5x + -3x = 2 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-22 + 2x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-22 + 2x = 2 + 0
-22 + 2x = 2

Add '22' to each side of the equation.
-22 + 22 + 2x = 2 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = 2 + 22
2x = 2 + 22

Combine like terms: 2 + 22 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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