36(39-6.5x)=15(6x-8)+33.6

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Solution for 36(39-6.5x)=15(6x-8)+33.6 equation:


Simplifying
36(39 + -6.5x) = 15(6x + -8) + 33.6
(39 * 36 + -6.5x * 36) = 15(6x + -8) + 33.6
(1404 + -234x) = 15(6x + -8) + 33.6

Reorder the terms:
1404 + -234x = 15(-8 + 6x) + 33.6
1404 + -234x = (-8 * 15 + 6x * 15) + 33.6
1404 + -234x = (-120 + 90x) + 33.6

Reorder the terms:
1404 + -234x = -120 + 33.6 + 90x

Combine like terms: -120 + 33.6 = -86.4
1404 + -234x = -86.4 + 90x

Solving
1404 + -234x = -86.4 + 90x

Solving for variable 'x'.

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

Add '-90x' to each side of the equation.
1404 + -234x + -90x = -86.4 + 90x + -90x

Combine like terms: -234x + -90x = -324x
1404 + -324x = -86.4 + 90x + -90x

Combine like terms: 90x + -90x = 0
1404 + -324x = -86.4 + 0
1404 + -324x = -86.4

Add '-1404' to each side of the equation.
1404 + -1404 + -324x = -86.4 + -1404

Combine like terms: 1404 + -1404 = 0
0 + -324x = -86.4 + -1404
-324x = -86.4 + -1404

Combine like terms: -86.4 + -1404 = -1490.4
-324x = -1490.4

Divide each side by '-324'.
x = 4.6

Simplifying
x = 4.6

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