4(x+5)-24=5x-13

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Solution for 4(x+5)-24=5x-13 equation:


Simplifying
4(x + 5) + -24 = 5x + -13

Reorder the terms:
4(5 + x) + -24 = 5x + -13
(5 * 4 + x * 4) + -24 = 5x + -13
(20 + 4x) + -24 = 5x + -13

Reorder the terms:
20 + -24 + 4x = 5x + -13

Combine like terms: 20 + -24 = -4
-4 + 4x = 5x + -13

Reorder the terms:
-4 + 4x = -13 + 5x

Solving
-4 + 4x = -13 + 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.
-4 + 4x + -5x = -13 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-4 + -1x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + -1x = -13 + 0
-4 + -1x = -13

Add '4' to each side of the equation.
-4 + 4 + -1x = -13 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -13 + 4
-1x = -13 + 4

Combine like terms: -13 + 4 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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