4*(6x+10)=12*(4x-20)-8

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Solution for 4*(6x+10)=12*(4x-20)-8 equation: 


Simplifying
4(6x + 10) = 12(4x + -20) + -8

Reorder the terms:
4(10 + 6x) = 12(4x + -20) + -8
(10 * 4 + 6x * 4) = 12(4x + -20) + -8
(40 + 24x) = 12(4x + -20) + -8

Reorder the terms:
40 + 24x = 12(-20 + 4x) + -8
40 + 24x = (-20 * 12 + 4x * 12) + -8
40 + 24x = (-240 + 48x) + -8

Reorder the terms:
40 + 24x = -240 + -8 + 48x

Combine like terms: -240 + -8 = -248
40 + 24x = -248 + 48x

Solving
40 + 24x = -248 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
40 + 24x + -48x = -248 + 48x + -48x

Combine like terms: 24x + -48x = -24x
40 + -24x = -248 + 48x + -48x

Combine like terms: 48x + -48x = 0
40 + -24x = -248 + 0
40 + -24x = -248

Add '-40' to each side of the equation.
40 + -40 + -24x = -248 + -40

Combine like terms: 40 + -40 = 0
0 + -24x = -248 + -40
-24x = -248 + -40

Combine like terms: -248 + -40 = -288
-24x = -288

Divide each side by '-24'.
x = 12

Simplifying
x = 12

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