12-(7x-11)=3(5-3x)

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Solution for 12-(7x-11)=3(5-3x) equation:


Simplifying
12 + -1(7x + -11) = 3(5 + -3x)

Reorder the terms:
12 + -1(-11 + 7x) = 3(5 + -3x)
12 + (-11 * -1 + 7x * -1) = 3(5 + -3x)
12 + (11 + -7x) = 3(5 + -3x)

Combine like terms: 12 + 11 = 23
23 + -7x = 3(5 + -3x)
23 + -7x = (5 * 3 + -3x * 3)
23 + -7x = (15 + -9x)

Solving
23 + -7x = 15 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
23 + -7x + 9x = 15 + -9x + 9x

Combine like terms: -7x + 9x = 2x
23 + 2x = 15 + -9x + 9x

Combine like terms: -9x + 9x = 0
23 + 2x = 15 + 0
23 + 2x = 15

Add '-23' to each side of the equation.
23 + -23 + 2x = 15 + -23

Combine like terms: 23 + -23 = 0
0 + 2x = 15 + -23
2x = 15 + -23

Combine like terms: 15 + -23 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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