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

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


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

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

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

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

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

Solving
-6 + 2x = 2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + 2x + 2x = 2 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-6 + 4x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 4x = 2 + 0
-6 + 4x = 2

Add '6' to each side of the equation.
-6 + 6 + 4x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 2 + 6
4x = 2 + 6

Combine like terms: 2 + 6 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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