4(3x+2)-8=6(4x-3)+10

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Solution for 4(3x+2)-8=6(4x-3)+10 equation:


Simplifying
4(3x + 2) + -8 = 6(4x + -3) + 10

Reorder the terms:
4(2 + 3x) + -8 = 6(4x + -3) + 10
(2 * 4 + 3x * 4) + -8 = 6(4x + -3) + 10
(8 + 12x) + -8 = 6(4x + -3) + 10

Reorder the terms:
8 + -8 + 12x = 6(4x + -3) + 10

Combine like terms: 8 + -8 = 0
0 + 12x = 6(4x + -3) + 10
12x = 6(4x + -3) + 10

Reorder the terms:
12x = 6(-3 + 4x) + 10
12x = (-3 * 6 + 4x * 6) + 10
12x = (-18 + 24x) + 10

Reorder the terms:
12x = -18 + 10 + 24x

Combine like terms: -18 + 10 = -8
12x = -8 + 24x

Solving
12x = -8 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
12x + -24x = -8 + 24x + -24x

Combine like terms: 12x + -24x = -12x
-12x = -8 + 24x + -24x

Combine like terms: 24x + -24x = 0
-12x = -8 + 0
-12x = -8

Divide each side by '-12'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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