5(x+5)-3(x-1)=32

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Solution for 5(x+5)-3(x-1)=32 equation:


Simplifying
5(x + 5) + -3(x + -1) = 32

Reorder the terms:
5(5 + x) + -3(x + -1) = 32
(5 * 5 + x * 5) + -3(x + -1) = 32
(25 + 5x) + -3(x + -1) = 32

Reorder the terms:
25 + 5x + -3(-1 + x) = 32
25 + 5x + (-1 * -3 + x * -3) = 32
25 + 5x + (3 + -3x) = 32

Reorder the terms:
25 + 3 + 5x + -3x = 32

Combine like terms: 25 + 3 = 28
28 + 5x + -3x = 32

Combine like terms: 5x + -3x = 2x
28 + 2x = 32

Solving
28 + 2x = 32

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 2x = 32 + -28

Combine like terms: 28 + -28 = 0
0 + 2x = 32 + -28
2x = 32 + -28

Combine like terms: 32 + -28 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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