2(4x+5)-10=4(2x-3)12

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Solution for 2(4x+5)-10=4(2x-3)12 equation:


Simplifying
2(4x + 5) + -10 = 4(2x + -3) * 12

Reorder the terms:
2(5 + 4x) + -10 = 4(2x + -3) * 12
(5 * 2 + 4x * 2) + -10 = 4(2x + -3) * 12
(10 + 8x) + -10 = 4(2x + -3) * 12

Reorder the terms:
10 + -10 + 8x = 4(2x + -3) * 12

Combine like terms: 10 + -10 = 0
0 + 8x = 4(2x + -3) * 12
8x = 4(2x + -3) * 12

Reorder the terms:
8x = 4(-3 + 2x) * 12

Reorder the terms for easier multiplication:
8x = 4 * 12(-3 + 2x)

Multiply 4 * 12
8x = 48(-3 + 2x)
8x = (-3 * 48 + 2x * 48)
8x = (-144 + 96x)

Solving
8x = -144 + 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.
8x + -96x = -144 + 96x + -96x

Combine like terms: 8x + -96x = -88x
-88x = -144 + 96x + -96x

Combine like terms: 96x + -96x = 0
-88x = -144 + 0
-88x = -144

Divide each side by '-88'.
x = 1.636363636

Simplifying
x = 1.636363636

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