-3(x+5)+3=9+5(x+7)

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Solution for -3(x+5)+3=9+5(x+7) equation:


Simplifying
-3(x + 5) + 3 = 9 + 5(x + 7)

Reorder the terms:
-3(5 + x) + 3 = 9 + 5(x + 7)
(5 * -3 + x * -3) + 3 = 9 + 5(x + 7)
(-15 + -3x) + 3 = 9 + 5(x + 7)

Reorder the terms:
-15 + 3 + -3x = 9 + 5(x + 7)

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

Reorder the terms:
-12 + -3x = 9 + 5(7 + x)
-12 + -3x = 9 + (7 * 5 + x * 5)
-12 + -3x = 9 + (35 + 5x)

Combine like terms: 9 + 35 = 44
-12 + -3x = 44 + 5x

Solving
-12 + -3x = 44 + 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.
-12 + -3x + -5x = 44 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-12 + -8x = 44 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -8x = 44 + 0
-12 + -8x = 44

Add '12' to each side of the equation.
-12 + 12 + -8x = 44 + 12

Combine like terms: -12 + 12 = 0
0 + -8x = 44 + 12
-8x = 44 + 12

Combine like terms: 44 + 12 = 56
-8x = 56

Divide each side by '-8'.
x = -7

Simplifying
x = -7

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