-3(x+4)+4=5(x+5)+6

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Solution for -3(x+4)+4=5(x+5)+6 equation:


Simplifying
-3(x + 4) + 4 = 5(x + 5) + 6

Reorder the terms:
-3(4 + x) + 4 = 5(x + 5) + 6
(4 * -3 + x * -3) + 4 = 5(x + 5) + 6
(-12 + -3x) + 4 = 5(x + 5) + 6

Reorder the terms:
-12 + 4 + -3x = 5(x + 5) + 6

Combine like terms: -12 + 4 = -8
-8 + -3x = 5(x + 5) + 6

Reorder the terms:
-8 + -3x = 5(5 + x) + 6
-8 + -3x = (5 * 5 + x * 5) + 6
-8 + -3x = (25 + 5x) + 6

Reorder the terms:
-8 + -3x = 25 + 6 + 5x

Combine like terms: 25 + 6 = 31
-8 + -3x = 31 + 5x

Solving
-8 + -3x = 31 + 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.
-8 + -3x + -5x = 31 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-8 + -8x = 31 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -8x = 31 + 0
-8 + -8x = 31

Add '8' to each side of the equation.
-8 + 8 + -8x = 31 + 8

Combine like terms: -8 + 8 = 0
0 + -8x = 31 + 8
-8x = 31 + 8

Combine like terms: 31 + 8 = 39
-8x = 39

Divide each side by '-8'.
x = -4.875

Simplifying
x = -4.875

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