-3(x+4)+5=5(x+2)+6

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Solution for -3(x+4)+5=5(x+2)+6 equation:


Simplifying
-3(x + 4) + 5 = 5(x + 2) + 6

Reorder the terms:
-3(4 + x) + 5 = 5(x + 2) + 6
(4 * -3 + x * -3) + 5 = 5(x + 2) + 6
(-12 + -3x) + 5 = 5(x + 2) + 6

Reorder the terms:
-12 + 5 + -3x = 5(x + 2) + 6

Combine like terms: -12 + 5 = -7
-7 + -3x = 5(x + 2) + 6

Reorder the terms:
-7 + -3x = 5(2 + x) + 6
-7 + -3x = (2 * 5 + x * 5) + 6
-7 + -3x = (10 + 5x) + 6

Reorder the terms:
-7 + -3x = 10 + 6 + 5x

Combine like terms: 10 + 6 = 16
-7 + -3x = 16 + 5x

Solving
-7 + -3x = 16 + 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.
-7 + -3x + -5x = 16 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-7 + -8x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + -8x = 16 + 0
-7 + -8x = 16

Add '7' to each side of the equation.
-7 + 7 + -8x = 16 + 7

Combine like terms: -7 + 7 = 0
0 + -8x = 16 + 7
-8x = 16 + 7

Combine like terms: 16 + 7 = 23
-8x = 23

Divide each side by '-8'.
x = -2.875

Simplifying
x = -2.875

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