4(5x-8)+8=12-(6x-15)

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Solution for 4(5x-8)+8=12-(6x-15) equation:


Simplifying
4(5x + -8) + 8 = 12 + -1(6x + -15)

Reorder the terms:
4(-8 + 5x) + 8 = 12 + -1(6x + -15)
(-8 * 4 + 5x * 4) + 8 = 12 + -1(6x + -15)
(-32 + 20x) + 8 = 12 + -1(6x + -15)

Reorder the terms:
-32 + 8 + 20x = 12 + -1(6x + -15)

Combine like terms: -32 + 8 = -24
-24 + 20x = 12 + -1(6x + -15)

Reorder the terms:
-24 + 20x = 12 + -1(-15 + 6x)
-24 + 20x = 12 + (-15 * -1 + 6x * -1)
-24 + 20x = 12 + (15 + -6x)

Combine like terms: 12 + 15 = 27
-24 + 20x = 27 + -6x

Solving
-24 + 20x = 27 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-24 + 20x + 6x = 27 + -6x + 6x

Combine like terms: 20x + 6x = 26x
-24 + 26x = 27 + -6x + 6x

Combine like terms: -6x + 6x = 0
-24 + 26x = 27 + 0
-24 + 26x = 27

Add '24' to each side of the equation.
-24 + 24 + 26x = 27 + 24

Combine like terms: -24 + 24 = 0
0 + 26x = 27 + 24
26x = 27 + 24

Combine like terms: 27 + 24 = 51
26x = 51

Divide each side by '26'.
x = 1.961538462

Simplifying
x = 1.961538462

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