15(32x+16)=32(12x+36)

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Solution for 15(32x+16)=32(12x+36) equation: 


Simplifying
15(32x + 16) = 32(12x + 36)

Reorder the terms:
15(16 + 32x) = 32(12x + 36)
(16 * 15 + 32x * 15) = 32(12x + 36)
(240 + 480x) = 32(12x + 36)

Reorder the terms:
240 + 480x = 32(36 + 12x)
240 + 480x = (36 * 32 + 12x * 32)
240 + 480x = (1152 + 384x)

Solving
240 + 480x = 1152 + 384x

Solving for variable 'x'.

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

Add '-384x' to each side of the equation.
240 + 480x + -384x = 1152 + 384x + -384x

Combine like terms: 480x + -384x = 96x
240 + 96x = 1152 + 384x + -384x

Combine like terms: 384x + -384x = 0
240 + 96x = 1152 + 0
240 + 96x = 1152

Add '-240' to each side of the equation.
240 + -240 + 96x = 1152 + -240

Combine like terms: 240 + -240 = 0
0 + 96x = 1152 + -240
96x = 1152 + -240

Combine like terms: 1152 + -240 = 912
96x = 912

Divide each side by '96'.
x = 9.5

Simplifying
x = 9.5

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