8(2x-1)2+3=-10(2x-1)

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Solution for 8(2x-1)2+3=-10(2x-1) equation:


Simplifying
8(2x + -1) * 2 + 3 = -10(2x + -1)

Reorder the terms:
8(-1 + 2x) * 2 + 3 = -10(2x + -1)

Reorder the terms for easier multiplication:
8 * 2(-1 + 2x) + 3 = -10(2x + -1)

Multiply 8 * 2
16(-1 + 2x) + 3 = -10(2x + -1)
(-1 * 16 + 2x * 16) + 3 = -10(2x + -1)
(-16 + 32x) + 3 = -10(2x + -1)

Reorder the terms:
-16 + 3 + 32x = -10(2x + -1)

Combine like terms: -16 + 3 = -13
-13 + 32x = -10(2x + -1)

Reorder the terms:
-13 + 32x = -10(-1 + 2x)
-13 + 32x = (-1 * -10 + 2x * -10)
-13 + 32x = (10 + -20x)

Solving
-13 + 32x = 10 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-13 + 32x + 20x = 10 + -20x + 20x

Combine like terms: 32x + 20x = 52x
-13 + 52x = 10 + -20x + 20x

Combine like terms: -20x + 20x = 0
-13 + 52x = 10 + 0
-13 + 52x = 10

Add '13' to each side of the equation.
-13 + 13 + 52x = 10 + 13

Combine like terms: -13 + 13 = 0
0 + 52x = 10 + 13
52x = 10 + 13

Combine like terms: 10 + 13 = 23
52x = 23

Divide each side by '52'.
x = 0.4423076923

Simplifying
x = 0.4423076923

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