(x-9)10-9(5-6x)=(4x-1)2+5(1+2x)

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Solution for (x-9)10-9(5-6x)=(4x-1)2+5(1+2x) equation:


Simplifying
(x + -9) * 10 + -9(5 + -6x) = (4x + -1) * 2 + 5(1 + 2x)

Reorder the terms:
(-9 + x) * 10 + -9(5 + -6x) = (4x + -1) * 2 + 5(1 + 2x)

Reorder the terms for easier multiplication:
10(-9 + x) + -9(5 + -6x) = (4x + -1) * 2 + 5(1 + 2x)
(-9 * 10 + x * 10) + -9(5 + -6x) = (4x + -1) * 2 + 5(1 + 2x)
(-90 + 10x) + -9(5 + -6x) = (4x + -1) * 2 + 5(1 + 2x)
-90 + 10x + (5 * -9 + -6x * -9) = (4x + -1) * 2 + 5(1 + 2x)
-90 + 10x + (-45 + 54x) = (4x + -1) * 2 + 5(1 + 2x)

Reorder the terms:
-90 + -45 + 10x + 54x = (4x + -1) * 2 + 5(1 + 2x)

Combine like terms: -90 + -45 = -135
-135 + 10x + 54x = (4x + -1) * 2 + 5(1 + 2x)

Combine like terms: 10x + 54x = 64x
-135 + 64x = (4x + -1) * 2 + 5(1 + 2x)

Reorder the terms:
-135 + 64x = (-1 + 4x) * 2 + 5(1 + 2x)

Reorder the terms for easier multiplication:
-135 + 64x = 2(-1 + 4x) + 5(1 + 2x)
-135 + 64x = (-1 * 2 + 4x * 2) + 5(1 + 2x)
-135 + 64x = (-2 + 8x) + 5(1 + 2x)
-135 + 64x = -2 + 8x + (1 * 5 + 2x * 5)
-135 + 64x = -2 + 8x + (5 + 10x)

Reorder the terms:
-135 + 64x = -2 + 5 + 8x + 10x

Combine like terms: -2 + 5 = 3
-135 + 64x = 3 + 8x + 10x

Combine like terms: 8x + 10x = 18x
-135 + 64x = 3 + 18x

Solving
-135 + 64x = 3 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-135 + 64x + -18x = 3 + 18x + -18x

Combine like terms: 64x + -18x = 46x
-135 + 46x = 3 + 18x + -18x

Combine like terms: 18x + -18x = 0
-135 + 46x = 3 + 0
-135 + 46x = 3

Add '135' to each side of the equation.
-135 + 135 + 46x = 3 + 135

Combine like terms: -135 + 135 = 0
0 + 46x = 3 + 135
46x = 3 + 135

Combine like terms: 3 + 135 = 138
46x = 138

Divide each side by '46'.
x = 3

Simplifying
x = 3

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