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

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


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

Reorder the terms:
-3(3 + x) + 4 = 5(x + 4) + 6
(3 * -3 + x * -3) + 4 = 5(x + 4) + 6
(-9 + -3x) + 4 = 5(x + 4) + 6

Reorder the terms:
-9 + 4 + -3x = 5(x + 4) + 6

Combine like terms: -9 + 4 = -5
-5 + -3x = 5(x + 4) + 6

Reorder the terms:
-5 + -3x = 5(4 + x) + 6
-5 + -3x = (4 * 5 + x * 5) + 6
-5 + -3x = (20 + 5x) + 6

Reorder the terms:
-5 + -3x = 20 + 6 + 5x

Combine like terms: 20 + 6 = 26
-5 + -3x = 26 + 5x

Solving
-5 + -3x = 26 + 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.
-5 + -3x + -5x = 26 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-5 + -8x = 26 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -8x = 26 + 0
-5 + -8x = 26

Add '5' to each side of the equation.
-5 + 5 + -8x = 26 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = 26 + 5
-8x = 26 + 5

Combine like terms: 26 + 5 = 31
-8x = 31

Divide each side by '-8'.
x = -3.875

Simplifying
x = -3.875

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