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

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


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

Reorder the terms:
4(-5 + x) + 2x = 2x + -8
(-5 * 4 + x * 4) + 2x = 2x + -8
(-20 + 4x) + 2x = 2x + -8

Combine like terms: 4x + 2x = 6x
-20 + 6x = 2x + -8

Reorder the terms:
-20 + 6x = -8 + 2x

Solving
-20 + 6x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + 6x + -2x = -8 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-20 + 4x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 4x = -8 + 0
-20 + 4x = -8

Add '20' to each side of the equation.
-20 + 20 + 4x = -8 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = -8 + 20
4x = -8 + 20

Combine like terms: -8 + 20 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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