5(x+3)=13x-29

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Solution for 5(x+3)=13x-29 equation:


Simplifying
5(x + 3) = 13x + -29

Reorder the terms:
5(3 + x) = 13x + -29
(3 * 5 + x * 5) = 13x + -29
(15 + 5x) = 13x + -29

Reorder the terms:
15 + 5x = -29 + 13x

Solving
15 + 5x = -29 + 13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13x' to each side of the equation.
15 + 5x + -13x = -29 + 13x + -13x

Combine like terms: 5x + -13x = -8x
15 + -8x = -29 + 13x + -13x

Combine like terms: 13x + -13x = 0
15 + -8x = -29 + 0
15 + -8x = -29

Add '-15' to each side of the equation.
15 + -15 + -8x = -29 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = -29 + -15
-8x = -29 + -15

Combine like terms: -29 + -15 = -44
-8x = -44

Divide each side by '-8'.
x = 5.5

Simplifying
x = 5.5

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