5x-(3x-4)=3x-11

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Solution for 5x-(3x-4)=3x-11 equation:


Simplifying
5x + -1(3x + -4) = 3x + -11

Reorder the terms:
5x + -1(-4 + 3x) = 3x + -11
5x + (-4 * -1 + 3x * -1) = 3x + -11
5x + (4 + -3x) = 3x + -11

Reorder the terms:
4 + 5x + -3x = 3x + -11

Combine like terms: 5x + -3x = 2x
4 + 2x = 3x + -11

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

Solving
4 + 2x = -11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 2x + -3x = -11 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
4 + -1x = -11 + 0
4 + -1x = -11

Add '-4' to each side of the equation.
4 + -4 + -1x = -11 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -11 + -4
-1x = -11 + -4

Combine like terms: -11 + -4 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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