3(4x+5)=11x-7

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Solution for 3(4x+5)=11x-7 equation:


Simplifying
3(4x + 5) = 11x + -7

Reorder the terms:
3(5 + 4x) = 11x + -7
(5 * 3 + 4x * 3) = 11x + -7
(15 + 12x) = 11x + -7

Reorder the terms:
15 + 12x = -7 + 11x

Solving
15 + 12x = -7 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
15 + 12x + -11x = -7 + 11x + -11x

Combine like terms: 12x + -11x = 1x
15 + 1x = -7 + 11x + -11x

Combine like terms: 11x + -11x = 0
15 + 1x = -7 + 0
15 + 1x = -7

Add '-15' to each side of the equation.
15 + -15 + 1x = -7 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = -7 + -15
1x = -7 + -15

Combine like terms: -7 + -15 = -22
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22

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