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

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


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

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

Reorder the terms:
4 + 11x = 2(-2 + 3x) + -7
4 + 11x = (-2 * 2 + 3x * 2) + -7
4 + 11x = (-4 + 6x) + -7

Reorder the terms:
4 + 11x = -4 + -7 + 6x

Combine like terms: -4 + -7 = -11
4 + 11x = -11 + 6x

Solving
4 + 11x = -11 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 11x + -6x = -11 + 6x + -6x

Combine like terms: 11x + -6x = 5x
4 + 5x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + 5x = -11 + 0
4 + 5x = -11

Add '-4' to each side of the equation.
4 + -4 + 5x = -11 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = -11 + -4
5x = -11 + -4

Combine like terms: -11 + -4 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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