-3(x-4)+x=2x-11

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Solution for -3(x-4)+x=2x-11 equation:


Simplifying
-3(x + -4) + x = 2x + -11

Reorder the terms:
-3(-4 + x) + x = 2x + -11
(-4 * -3 + x * -3) + x = 2x + -11
(12 + -3x) + x = 2x + -11

Combine like terms: -3x + x = -2x
12 + -2x = 2x + -11

Reorder the terms:
12 + -2x = -11 + 2x

Solving
12 + -2x = -11 + 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.
12 + -2x + -2x = -11 + 2x + -2x

Combine like terms: -2x + -2x = -4x
12 + -4x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -4x = -11 + 0
12 + -4x = -11

Add '-12' to each side of the equation.
12 + -12 + -4x = -11 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -11 + -12
-4x = -11 + -12

Combine like terms: -11 + -12 = -23
-4x = -23

Divide each side by '-4'.
x = 5.75

Simplifying
x = 5.75

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