4(x-3)-10=-2x+20

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Solution for 4(x-3)-10=-2x+20 equation:


Simplifying
4(x + -3) + -10 = -2x + 20

Reorder the terms:
4(-3 + x) + -10 = -2x + 20
(-3 * 4 + x * 4) + -10 = -2x + 20
(-12 + 4x) + -10 = -2x + 20

Reorder the terms:
-12 + -10 + 4x = -2x + 20

Combine like terms: -12 + -10 = -22
-22 + 4x = -2x + 20

Reorder the terms:
-22 + 4x = 20 + -2x

Solving
-22 + 4x = 20 + -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.
-22 + 4x + 2x = 20 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-22 + 6x = 20 + -2x + 2x

Combine like terms: -2x + 2x = 0
-22 + 6x = 20 + 0
-22 + 6x = 20

Add '22' to each side of the equation.
-22 + 22 + 6x = 20 + 22

Combine like terms: -22 + 22 = 0
0 + 6x = 20 + 22
6x = 20 + 22

Combine like terms: 20 + 22 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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