10-4(x+2)=32-6(3x-2)

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Solution for 10-4(x+2)=32-6(3x-2) equation: 


Simplifying
10 + -4(x + 2) = 32 + -6(3x + -2)

Reorder the terms:
10 + -4(2 + x) = 32 + -6(3x + -2)
10 + (2 * -4 + x * -4) = 32 + -6(3x + -2)
10 + (-8 + -4x) = 32 + -6(3x + -2)

Combine like terms: 10 + -8 = 2
2 + -4x = 32 + -6(3x + -2)

Reorder the terms:
2 + -4x = 32 + -6(-2 + 3x)
2 + -4x = 32 + (-2 * -6 + 3x * -6)
2 + -4x = 32 + (12 + -18x)

Combine like terms: 32 + 12 = 44
2 + -4x = 44 + -18x

Solving
2 + -4x = 44 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
2 + -4x + 18x = 44 + -18x + 18x

Combine like terms: -4x + 18x = 14x
2 + 14x = 44 + -18x + 18x

Combine like terms: -18x + 18x = 0
2 + 14x = 44 + 0
2 + 14x = 44

Add '-2' to each side of the equation.
2 + -2 + 14x = 44 + -2

Combine like terms: 2 + -2 = 0
0 + 14x = 44 + -2
14x = 44 + -2

Combine like terms: 44 + -2 = 42
14x = 42

Divide each side by '14'.
x = 3

Simplifying
x = 3

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