32=7x+5(x-5)

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Solution for 32=7x+5(x-5) equation:


Simplifying
32 = 7x + 5(x + -5)

Reorder the terms:
32 = 7x + 5(-5 + x)
32 = 7x + (-5 * 5 + x * 5)
32 = 7x + (-25 + 5x)

Reorder the terms:
32 = -25 + 7x + 5x

Combine like terms: 7x + 5x = 12x
32 = -25 + 12x

Solving
32 = -25 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
32 + -12x = -25 + 12x + -12x

Combine like terms: 12x + -12x = 0
32 + -12x = -25 + 0
32 + -12x = -25

Add '-32' to each side of the equation.
32 + -32 + -12x = -25 + -32

Combine like terms: 32 + -32 = 0
0 + -12x = -25 + -32
-12x = -25 + -32

Combine like terms: -25 + -32 = -57
-12x = -57

Divide each side by '-12'.
x = 4.75

Simplifying
x = 4.75

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