13=8-5(x+3)

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Solution for 13=8-5(x+3) equation:


Simplifying
13 = 8 + -5(x + 3)

Reorder the terms:
13 = 8 + -5(3 + x)
13 = 8 + (3 * -5 + x * -5)
13 = 8 + (-15 + -5x)

Combine like terms: 8 + -15 = -7
13 = -7 + -5x

Solving
13 = -7 + -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.
13 + 5x = -7 + -5x + 5x

Combine like terms: -5x + 5x = 0
13 + 5x = -7 + 0
13 + 5x = -7

Add '-13' to each side of the equation.
13 + -13 + 5x = -7 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = -7 + -13
5x = -7 + -13

Combine like terms: -7 + -13 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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