5(x+4)-3(x-2)=32

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Solution for 5(x+4)-3(x-2)=32 equation: 


Simplifying
5(x + 4) + -3(x + -2) = 32

Reorder the terms:
5(4 + x) + -3(x + -2) = 32
(4 * 5 + x * 5) + -3(x + -2) = 32
(20 + 5x) + -3(x + -2) = 32

Reorder the terms:
20 + 5x + -3(-2 + x) = 32
20 + 5x + (-2 * -3 + x * -3) = 32
20 + 5x + (6 + -3x) = 32

Reorder the terms:
20 + 6 + 5x + -3x = 32

Combine like terms: 20 + 6 = 26
26 + 5x + -3x = 32

Combine like terms: 5x + -3x = 2x
26 + 2x = 32

Solving
26 + 2x = 32

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 2x = 32 + -26

Combine like terms: 26 + -26 = 0
0 + 2x = 32 + -26
2x = 32 + -26

Combine like terms: 32 + -26 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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