1-3(x+3)=5x-24

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Solution for 1-3(x+3)=5x-24 equation:


Simplifying
1 + -3(x + 3) = 5x + -24

Reorder the terms:
1 + -3(3 + x) = 5x + -24
1 + (3 * -3 + x * -3) = 5x + -24
1 + (-9 + -3x) = 5x + -24

Combine like terms: 1 + -9 = -8
-8 + -3x = 5x + -24

Reorder the terms:
-8 + -3x = -24 + 5x

Solving
-8 + -3x = -24 + 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 = -24 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-8 + -8x = -24 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -8x = -24 + 0
-8 + -8x = -24

Add '8' to each side of the equation.
-8 + 8 + -8x = -24 + 8

Combine like terms: -8 + 8 = 0
0 + -8x = -24 + 8
-8x = -24 + 8

Combine like terms: -24 + 8 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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