3(x+2)*3+2(4x-8)*5=8(2x-6)*6

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Solution for 3(x+2)*3+2(4x-8)*5=8(2x-6)*6 equation: 


Simplifying
3(x + 2) * 3 + 2(4x + -8) * 5 = 8(2x + -6) * 6

Reorder the terms:
3(2 + x) * 3 + 2(4x + -8) * 5 = 8(2x + -6) * 6

Reorder the terms for easier multiplication:
3 * 3(2 + x) + 2(4x + -8) * 5 = 8(2x + -6) * 6

Multiply 3 * 3
9(2 + x) + 2(4x + -8) * 5 = 8(2x + -6) * 6
(2 * 9 + x * 9) + 2(4x + -8) * 5 = 8(2x + -6) * 6
(18 + 9x) + 2(4x + -8) * 5 = 8(2x + -6) * 6

Reorder the terms:
18 + 9x + 2(-8 + 4x) * 5 = 8(2x + -6) * 6

Reorder the terms for easier multiplication:
18 + 9x + 2 * 5(-8 + 4x) = 8(2x + -6) * 6

Multiply 2 * 5
18 + 9x + 10(-8 + 4x) = 8(2x + -6) * 6
18 + 9x + (-8 * 10 + 4x * 10) = 8(2x + -6) * 6
18 + 9x + (-80 + 40x) = 8(2x + -6) * 6

Reorder the terms:
18 + -80 + 9x + 40x = 8(2x + -6) * 6

Combine like terms: 18 + -80 = -62
-62 + 9x + 40x = 8(2x + -6) * 6

Combine like terms: 9x + 40x = 49x
-62 + 49x = 8(2x + -6) * 6

Reorder the terms:
-62 + 49x = 8(-6 + 2x) * 6

Reorder the terms for easier multiplication:
-62 + 49x = 8 * 6(-6 + 2x)

Multiply 8 * 6
-62 + 49x = 48(-6 + 2x)
-62 + 49x = (-6 * 48 + 2x * 48)
-62 + 49x = (-288 + 96x)

Solving
-62 + 49x = -288 + 96x

Solving for variable 'x'.

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

Add '-96x' to each side of the equation.
-62 + 49x + -96x = -288 + 96x + -96x

Combine like terms: 49x + -96x = -47x
-62 + -47x = -288 + 96x + -96x

Combine like terms: 96x + -96x = 0
-62 + -47x = -288 + 0
-62 + -47x = -288

Add '62' to each side of the equation.
-62 + 62 + -47x = -288 + 62

Combine like terms: -62 + 62 = 0
0 + -47x = -288 + 62
-47x = -288 + 62

Combine like terms: -288 + 62 = -226
-47x = -226

Divide each side by '-47'.
x = 4.808510638

Simplifying
x = 4.808510638

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