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

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


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

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

Reorder the terms:
12 + 8x + -2(-8 + 3x) = 10
12 + 8x + (-8 * -2 + 3x * -2) = 10
12 + 8x + (16 + -6x) = 10

Reorder the terms:
12 + 16 + 8x + -6x = 10

Combine like terms: 12 + 16 = 28
28 + 8x + -6x = 10

Combine like terms: 8x + -6x = 2x
28 + 2x = 10

Solving
28 + 2x = 10

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 2x = 10 + -28

Combine like terms: 28 + -28 = 0
0 + 2x = 10 + -28
2x = 10 + -28

Combine like terms: 10 + -28 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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