4(2x-5)-12=6(x+3)-8

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Solution for 4(2x-5)-12=6(x+3)-8 equation:


Simplifying
4(2x + -5) + -12 = 6(x + 3) + -8

Reorder the terms:
4(-5 + 2x) + -12 = 6(x + 3) + -8
(-5 * 4 + 2x * 4) + -12 = 6(x + 3) + -8
(-20 + 8x) + -12 = 6(x + 3) + -8

Reorder the terms:
-20 + -12 + 8x = 6(x + 3) + -8

Combine like terms: -20 + -12 = -32
-32 + 8x = 6(x + 3) + -8

Reorder the terms:
-32 + 8x = 6(3 + x) + -8
-32 + 8x = (3 * 6 + x * 6) + -8
-32 + 8x = (18 + 6x) + -8

Reorder the terms:
-32 + 8x = 18 + -8 + 6x

Combine like terms: 18 + -8 = 10
-32 + 8x = 10 + 6x

Solving
-32 + 8x = 10 + 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.
-32 + 8x + -6x = 10 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-32 + 2x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-32 + 2x = 10 + 0
-32 + 2x = 10

Add '32' to each side of the equation.
-32 + 32 + 2x = 10 + 32

Combine like terms: -32 + 32 = 0
0 + 2x = 10 + 32
2x = 10 + 32

Combine like terms: 10 + 32 = 42
2x = 42

Divide each side by '2'.
x = 21

Simplifying
x = 21

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