2(3x-4)+5=6-7(8x-9)

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Solution for 2(3x-4)+5=6-7(8x-9) equation:


Simplifying
2(3x + -4) + 5 = 6 + -7(8x + -9)

Reorder the terms:
2(-4 + 3x) + 5 = 6 + -7(8x + -9)
(-4 * 2 + 3x * 2) + 5 = 6 + -7(8x + -9)
(-8 + 6x) + 5 = 6 + -7(8x + -9)

Reorder the terms:
-8 + 5 + 6x = 6 + -7(8x + -9)

Combine like terms: -8 + 5 = -3
-3 + 6x = 6 + -7(8x + -9)

Reorder the terms:
-3 + 6x = 6 + -7(-9 + 8x)
-3 + 6x = 6 + (-9 * -7 + 8x * -7)
-3 + 6x = 6 + (63 + -56x)

Combine like terms: 6 + 63 = 69
-3 + 6x = 69 + -56x

Solving
-3 + 6x = 69 + -56x

Solving for variable 'x'.

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

Add '56x' to each side of the equation.
-3 + 6x + 56x = 69 + -56x + 56x

Combine like terms: 6x + 56x = 62x
-3 + 62x = 69 + -56x + 56x

Combine like terms: -56x + 56x = 0
-3 + 62x = 69 + 0
-3 + 62x = 69

Add '3' to each side of the equation.
-3 + 3 + 62x = 69 + 3

Combine like terms: -3 + 3 = 0
0 + 62x = 69 + 3
62x = 69 + 3

Combine like terms: 69 + 3 = 72
62x = 72

Divide each side by '62'.
x = 1.161290323

Simplifying
x = 1.161290323

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