10(9x-16)=5x+32

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Solution for 10(9x-16)=5x+32 equation:


Simplifying
10(9x + -16) = 5x + 32

Reorder the terms:
10(-16 + 9x) = 5x + 32
(-16 * 10 + 9x * 10) = 5x + 32
(-160 + 90x) = 5x + 32

Reorder the terms:
-160 + 90x = 32 + 5x

Solving
-160 + 90x = 32 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-160 + 90x + -5x = 32 + 5x + -5x

Combine like terms: 90x + -5x = 85x
-160 + 85x = 32 + 5x + -5x

Combine like terms: 5x + -5x = 0
-160 + 85x = 32 + 0
-160 + 85x = 32

Add '160' to each side of the equation.
-160 + 160 + 85x = 32 + 160

Combine like terms: -160 + 160 = 0
0 + 85x = 32 + 160
85x = 32 + 160

Combine like terms: 32 + 160 = 192
85x = 192

Divide each side by '85'.
x = 2.258823529

Simplifying
x = 2.258823529

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