4(x-11)+3x=20x-31

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Solution for 4(x-11)+3x=20x-31 equation:


Simplifying
4(x + -11) + 3x = 20x + -31

Reorder the terms:
4(-11 + x) + 3x = 20x + -31
(-11 * 4 + x * 4) + 3x = 20x + -31
(-44 + 4x) + 3x = 20x + -31

Combine like terms: 4x + 3x = 7x
-44 + 7x = 20x + -31

Reorder the terms:
-44 + 7x = -31 + 20x

Solving
-44 + 7x = -31 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-44 + 7x + -20x = -31 + 20x + -20x

Combine like terms: 7x + -20x = -13x
-44 + -13x = -31 + 20x + -20x

Combine like terms: 20x + -20x = 0
-44 + -13x = -31 + 0
-44 + -13x = -31

Add '44' to each side of the equation.
-44 + 44 + -13x = -31 + 44

Combine like terms: -44 + 44 = 0
0 + -13x = -31 + 44
-13x = -31 + 44

Combine like terms: -31 + 44 = 13
-13x = 13

Divide each side by '-13'.
x = -1

Simplifying
x = -1

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