36(35-6.5x)=12(6x-10)+33.6

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Solution for 36(35-6.5x)=12(6x-10)+33.6 equation:


Simplifying
36(35 + -6.5x) = 12(6x + -10) + 33.6
(35 * 36 + -6.5x * 36) = 12(6x + -10) + 33.6
(1260 + -234x) = 12(6x + -10) + 33.6

Reorder the terms:
1260 + -234x = 12(-10 + 6x) + 33.6
1260 + -234x = (-10 * 12 + 6x * 12) + 33.6
1260 + -234x = (-120 + 72x) + 33.6

Reorder the terms:
1260 + -234x = -120 + 33.6 + 72x

Combine like terms: -120 + 33.6 = -86.4
1260 + -234x = -86.4 + 72x

Solving
1260 + -234x = -86.4 + 72x

Solving for variable 'x'.

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

Add '-72x' to each side of the equation.
1260 + -234x + -72x = -86.4 + 72x + -72x

Combine like terms: -234x + -72x = -306x
1260 + -306x = -86.4 + 72x + -72x

Combine like terms: 72x + -72x = 0
1260 + -306x = -86.4 + 0
1260 + -306x = -86.4

Add '-1260' to each side of the equation.
1260 + -1260 + -306x = -86.4 + -1260

Combine like terms: 1260 + -1260 = 0
0 + -306x = -86.4 + -1260
-306x = -86.4 + -1260

Combine like terms: -86.4 + -1260 = -1346.4
-306x = -1346.4

Divide each side by '-306'.
x = 4.4

Simplifying
x = 4.4

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