4(x+5)-2x=x-11

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Solution for 4(x+5)-2x=x-11 equation:


Simplifying
4(x + 5) + -2x = x + -11

Reorder the terms:
4(5 + x) + -2x = x + -11
(5 * 4 + x * 4) + -2x = x + -11
(20 + 4x) + -2x = x + -11

Combine like terms: 4x + -2x = 2x
20 + 2x = x + -11

Reorder the terms:
20 + 2x = -11 + x

Solving
20 + 2x = -11 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
20 + 2x + -1x = -11 + x + -1x

Combine like terms: 2x + -1x = 1x
20 + 1x = -11 + x + -1x

Combine like terms: x + -1x = 0
20 + 1x = -11 + 0
20 + 1x = -11

Add '-20' to each side of the equation.
20 + -20 + 1x = -11 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = -11 + -20
1x = -11 + -20

Combine like terms: -11 + -20 = -31
1x = -31

Divide each side by '1'.
x = -31

Simplifying
x = -31

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