-3(x+4)+6=5(x+5)+7

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Solution for -3(x+4)+6=5(x+5)+7 equation:


Simplifying
-3(x + 4) + 6 = 5(x + 5) + 7

Reorder the terms:
-3(4 + x) + 6 = 5(x + 5) + 7
(4 * -3 + x * -3) + 6 = 5(x + 5) + 7
(-12 + -3x) + 6 = 5(x + 5) + 7

Reorder the terms:
-12 + 6 + -3x = 5(x + 5) + 7

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

Reorder the terms:
-6 + -3x = 5(5 + x) + 7
-6 + -3x = (5 * 5 + x * 5) + 7
-6 + -3x = (25 + 5x) + 7

Reorder the terms:
-6 + -3x = 25 + 7 + 5x

Combine like terms: 25 + 7 = 32
-6 + -3x = 32 + 5x

Solving
-6 + -3x = 32 + 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.
-6 + -3x + -5x = 32 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-6 + -8x = 32 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -8x = 32 + 0
-6 + -8x = 32

Add '6' to each side of the equation.
-6 + 6 + -8x = 32 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = 32 + 6
-8x = 32 + 6

Combine like terms: 32 + 6 = 38
-8x = 38

Divide each side by '-8'.
x = -4.75

Simplifying
x = -4.75

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