2(4x-8)-9(6x-3)=3(4x+5)-62

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Solution for 2(4x-8)-9(6x-3)=3(4x+5)-62 equation:


Simplifying
2(4x + -8) + -9(6x + -3) = 3(4x + 5) + -62

Reorder the terms:
2(-8 + 4x) + -9(6x + -3) = 3(4x + 5) + -62
(-8 * 2 + 4x * 2) + -9(6x + -3) = 3(4x + 5) + -62
(-16 + 8x) + -9(6x + -3) = 3(4x + 5) + -62

Reorder the terms:
-16 + 8x + -9(-3 + 6x) = 3(4x + 5) + -62
-16 + 8x + (-3 * -9 + 6x * -9) = 3(4x + 5) + -62
-16 + 8x + (27 + -54x) = 3(4x + 5) + -62

Reorder the terms:
-16 + 27 + 8x + -54x = 3(4x + 5) + -62

Combine like terms: -16 + 27 = 11
11 + 8x + -54x = 3(4x + 5) + -62

Combine like terms: 8x + -54x = -46x
11 + -46x = 3(4x + 5) + -62

Reorder the terms:
11 + -46x = 3(5 + 4x) + -62
11 + -46x = (5 * 3 + 4x * 3) + -62
11 + -46x = (15 + 12x) + -62

Reorder the terms:
11 + -46x = 15 + -62 + 12x

Combine like terms: 15 + -62 = -47
11 + -46x = -47 + 12x

Solving
11 + -46x = -47 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
11 + -46x + -12x = -47 + 12x + -12x

Combine like terms: -46x + -12x = -58x
11 + -58x = -47 + 12x + -12x

Combine like terms: 12x + -12x = 0
11 + -58x = -47 + 0
11 + -58x = -47

Add '-11' to each side of the equation.
11 + -11 + -58x = -47 + -11

Combine like terms: 11 + -11 = 0
0 + -58x = -47 + -11
-58x = -47 + -11

Combine like terms: -47 + -11 = -58
-58x = -58

Divide each side by '-58'.
x = 1

Simplifying
x = 1

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