-3(x+3)+1=5x-40

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Solution for -3(x+3)+1=5x-40 equation:


Simplifying
-3(x + 3) + 1 = 5x + -40

Reorder the terms:
-3(3 + x) + 1 = 5x + -40
(3 * -3 + x * -3) + 1 = 5x + -40
(-9 + -3x) + 1 = 5x + -40

Reorder the terms:
-9 + 1 + -3x = 5x + -40

Combine like terms: -9 + 1 = -8
-8 + -3x = 5x + -40

Reorder the terms:
-8 + -3x = -40 + 5x

Solving
-8 + -3x = -40 + 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 = -40 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-8 + -8x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -8x = -40 + 0
-8 + -8x = -40

Add '8' to each side of the equation.
-8 + 8 + -8x = -40 + 8

Combine like terms: -8 + 8 = 0
0 + -8x = -40 + 8
-8x = -40 + 8

Combine like terms: -40 + 8 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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