4x-(3x-8)=2x-11

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Solution for 4x-(3x-8)=2x-11 equation:


Simplifying
4x + -1(3x + -8) = 2x + -11

Reorder the terms:
4x + -1(-8 + 3x) = 2x + -11
4x + (-8 * -1 + 3x * -1) = 2x + -11
4x + (8 + -3x) = 2x + -11

Reorder the terms:
8 + 4x + -3x = 2x + -11

Combine like terms: 4x + -3x = 1x
8 + 1x = 2x + -11

Reorder the terms:
8 + 1x = -11 + 2x

Solving
8 + 1x = -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.
8 + 1x + -2x = -11 + 2x + -2x

Combine like terms: 1x + -2x = -1x
8 + -1x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -1x = -11 + 0
8 + -1x = -11

Add '-8' to each side of the equation.
8 + -8 + -1x = -11 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -11 + -8
-1x = -11 + -8

Combine like terms: -11 + -8 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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