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

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


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

Reorder the terms:
6(3 + 2x) + 10 = 8(3x + -4)
(3 * 6 + 2x * 6) + 10 = 8(3x + -4)
(18 + 12x) + 10 = 8(3x + -4)

Reorder the terms:
18 + 10 + 12x = 8(3x + -4)

Combine like terms: 18 + 10 = 28
28 + 12x = 8(3x + -4)

Reorder the terms:
28 + 12x = 8(-4 + 3x)
28 + 12x = (-4 * 8 + 3x * 8)
28 + 12x = (-32 + 24x)

Solving
28 + 12x = -32 + 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.
28 + 12x + -24x = -32 + 24x + -24x

Combine like terms: 12x + -24x = -12x
28 + -12x = -32 + 24x + -24x

Combine like terms: 24x + -24x = 0
28 + -12x = -32 + 0
28 + -12x = -32

Add '-28' to each side of the equation.
28 + -28 + -12x = -32 + -28

Combine like terms: 28 + -28 = 0
0 + -12x = -32 + -28
-12x = -32 + -28

Combine like terms: -32 + -28 = -60
-12x = -60

Divide each side by '-12'.
x = 5

Simplifying
x = 5

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