5(x+2)=13-3(2x+4)

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Solution for 5(x+2)=13-3(2x+4) equation:


Simplifying
5(x + 2) = 13 + -3(2x + 4)

Reorder the terms:
5(2 + x) = 13 + -3(2x + 4)
(2 * 5 + x * 5) = 13 + -3(2x + 4)
(10 + 5x) = 13 + -3(2x + 4)

Reorder the terms:
10 + 5x = 13 + -3(4 + 2x)
10 + 5x = 13 + (4 * -3 + 2x * -3)
10 + 5x = 13 + (-12 + -6x)

Combine like terms: 13 + -12 = 1
10 + 5x = 1 + -6x

Solving
10 + 5x = 1 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
10 + 5x + 6x = 1 + -6x + 6x

Combine like terms: 5x + 6x = 11x
10 + 11x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0
10 + 11x = 1 + 0
10 + 11x = 1

Add '-10' to each side of the equation.
10 + -10 + 11x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + 11x = 1 + -10
11x = 1 + -10

Combine like terms: 1 + -10 = -9
11x = -9

Divide each side by '11'.
x = -0.8181818182

Simplifying
x = -0.8181818182

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