7(x-3)-11=12-5(x+4)

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Solution for 7(x-3)-11=12-5(x+4) equation:


Simplifying
7(x + -3) + -11 = 12 + -5(x + 4)

Reorder the terms:
7(-3 + x) + -11 = 12 + -5(x + 4)
(-3 * 7 + x * 7) + -11 = 12 + -5(x + 4)
(-21 + 7x) + -11 = 12 + -5(x + 4)

Reorder the terms:
-21 + -11 + 7x = 12 + -5(x + 4)

Combine like terms: -21 + -11 = -32
-32 + 7x = 12 + -5(x + 4)

Reorder the terms:
-32 + 7x = 12 + -5(4 + x)
-32 + 7x = 12 + (4 * -5 + x * -5)
-32 + 7x = 12 + (-20 + -5x)

Combine like terms: 12 + -20 = -8
-32 + 7x = -8 + -5x

Solving
-32 + 7x = -8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-32 + 7x + 5x = -8 + -5x + 5x

Combine like terms: 7x + 5x = 12x
-32 + 12x = -8 + -5x + 5x

Combine like terms: -5x + 5x = 0
-32 + 12x = -8 + 0
-32 + 12x = -8

Add '32' to each side of the equation.
-32 + 32 + 12x = -8 + 32

Combine like terms: -32 + 32 = 0
0 + 12x = -8 + 32
12x = -8 + 32

Combine like terms: -8 + 32 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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