32=5(3x-9)-2(-x+4)

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Solution for 32=5(3x-9)-2(-x+4) equation:


Simplifying
32 = 5(3x + -9) + -2(-1x + 4)

Reorder the terms:
32 = 5(-9 + 3x) + -2(-1x + 4)
32 = (-9 * 5 + 3x * 5) + -2(-1x + 4)
32 = (-45 + 15x) + -2(-1x + 4)

Reorder the terms:
32 = -45 + 15x + -2(4 + -1x)
32 = -45 + 15x + (4 * -2 + -1x * -2)
32 = -45 + 15x + (-8 + 2x)

Reorder the terms:
32 = -45 + -8 + 15x + 2x

Combine like terms: -45 + -8 = -53
32 = -53 + 15x + 2x

Combine like terms: 15x + 2x = 17x
32 = -53 + 17x

Solving
32 = -53 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
32 + -17x = -53 + 17x + -17x

Combine like terms: 17x + -17x = 0
32 + -17x = -53 + 0
32 + -17x = -53

Add '-32' to each side of the equation.
32 + -32 + -17x = -53 + -32

Combine like terms: 32 + -32 = 0
0 + -17x = -53 + -32
-17x = -53 + -32

Combine like terms: -53 + -32 = -85
-17x = -85

Divide each side by '-17'.
x = 5

Simplifying
x = 5

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