10-2(3x-4)=5x+2(3-4x)

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Solution for 10-2(3x-4)=5x+2(3-4x) equation:


Simplifying
10 + -2(3x + -4) = 5x + 2(3 + -4x)

Reorder the terms:
10 + -2(-4 + 3x) = 5x + 2(3 + -4x)
10 + (-4 * -2 + 3x * -2) = 5x + 2(3 + -4x)
10 + (8 + -6x) = 5x + 2(3 + -4x)

Combine like terms: 10 + 8 = 18
18 + -6x = 5x + 2(3 + -4x)
18 + -6x = 5x + (3 * 2 + -4x * 2)
18 + -6x = 5x + (6 + -8x)

Reorder the terms:
18 + -6x = 6 + 5x + -8x

Combine like terms: 5x + -8x = -3x
18 + -6x = 6 + -3x

Solving
18 + -6x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
18 + -6x + 3x = 6 + -3x + 3x

Combine like terms: -6x + 3x = -3x
18 + -3x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
18 + -3x = 6 + 0
18 + -3x = 6

Add '-18' to each side of the equation.
18 + -18 + -3x = 6 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = 6 + -18
-3x = 6 + -18

Combine like terms: 6 + -18 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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