5(x+4)=-8x+33

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Solution for 5(x+4)=-8x+33 equation:


Simplifying
5(x + 4) = -8x + 33

Reorder the terms:
5(4 + x) = -8x + 33
(4 * 5 + x * 5) = -8x + 33
(20 + 5x) = -8x + 33

Reorder the terms:
20 + 5x = 33 + -8x

Solving
20 + 5x = 33 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
20 + 5x + 8x = 33 + -8x + 8x

Combine like terms: 5x + 8x = 13x
20 + 13x = 33 + -8x + 8x

Combine like terms: -8x + 8x = 0
20 + 13x = 33 + 0
20 + 13x = 33

Add '-20' to each side of the equation.
20 + -20 + 13x = 33 + -20

Combine like terms: 20 + -20 = 0
0 + 13x = 33 + -20
13x = 33 + -20

Combine like terms: 33 + -20 = 13
13x = 13

Divide each side by '13'.
x = 1

Simplifying
x = 1

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