36(7-2x)=36(3(x+5))

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Solution for 36(7-2x)=36(3(x+5)) equation:


Simplifying
36(7 + -2x) = 36(3(x + 5))
(7 * 36 + -2x * 36) = 36(3(x + 5))
(252 + -72x) = 36(3(x + 5))

Reorder the terms:
252 + -72x = 36(3(5 + x))
252 + -72x = 36((5 * 3 + x * 3))
252 + -72x = 36((15 + 3x))
252 + -72x = (15 * 36 + 3x * 36)
252 + -72x = (540 + 108x)

Solving
252 + -72x = 540 + 108x

Solving for variable 'x'.

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

Add '-108x' to each side of the equation.
252 + -72x + -108x = 540 + 108x + -108x

Combine like terms: -72x + -108x = -180x
252 + -180x = 540 + 108x + -108x

Combine like terms: 108x + -108x = 0
252 + -180x = 540 + 0
252 + -180x = 540

Add '-252' to each side of the equation.
252 + -252 + -180x = 540 + -252

Combine like terms: 252 + -252 = 0
0 + -180x = 540 + -252
-180x = 540 + -252

Combine like terms: 540 + -252 = 288
-180x = 288

Divide each side by '-180'.
x = -1.6

Simplifying
x = -1.6

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