6(3x+3)=5x+8

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Solution for 6(3x+3)=5x+8 equation:


Simplifying
6(3x + 3) = 5x + 8

Reorder the terms:
6(3 + 3x) = 5x + 8
(3 * 6 + 3x * 6) = 5x + 8
(18 + 18x) = 5x + 8

Reorder the terms:
18 + 18x = 8 + 5x

Solving
18 + 18x = 8 + 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.
18 + 18x + -5x = 8 + 5x + -5x

Combine like terms: 18x + -5x = 13x
18 + 13x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + 13x = 8 + 0
18 + 13x = 8

Add '-18' to each side of the equation.
18 + -18 + 13x = 8 + -18

Combine like terms: 18 + -18 = 0
0 + 13x = 8 + -18
13x = 8 + -18

Combine like terms: 8 + -18 = -10
13x = -10

Divide each side by '13'.
x = -0.7692307692

Simplifying
x = -0.7692307692

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