-7(2x-1)+11=-3x-4

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Solution for -7(2x-1)+11=-3x-4 equation:


Simplifying
-7(2x + -1) + 11 = -3x + -4

Reorder the terms:
-7(-1 + 2x) + 11 = -3x + -4
(-1 * -7 + 2x * -7) + 11 = -3x + -4
(7 + -14x) + 11 = -3x + -4

Reorder the terms:
7 + 11 + -14x = -3x + -4

Combine like terms: 7 + 11 = 18
18 + -14x = -3x + -4

Reorder the terms:
18 + -14x = -4 + -3x

Solving
18 + -14x = -4 + -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.
18 + -14x + 3x = -4 + -3x + 3x

Combine like terms: -14x + 3x = -11x
18 + -11x = -4 + -3x + 3x

Combine like terms: -3x + 3x = 0
18 + -11x = -4 + 0
18 + -11x = -4

Add '-18' to each side of the equation.
18 + -18 + -11x = -4 + -18

Combine like terms: 18 + -18 = 0
0 + -11x = -4 + -18
-11x = -4 + -18

Combine like terms: -4 + -18 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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