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

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


Simplifying
(4 + 3x) + -1(2 + -2x) = 10

Remove parenthesis around (4 + 3x)
4 + 3x + -1(2 + -2x) = 10
4 + 3x + (2 * -1 + -2x * -1) = 10
4 + 3x + (-2 + 2x) = 10

Reorder the terms:
4 + -2 + 3x + 2x = 10

Combine like terms: 4 + -2 = 2
2 + 3x + 2x = 10

Combine like terms: 3x + 2x = 5x
2 + 5x = 10

Solving
2 + 5x = 10

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 10 + -2
5x = 10 + -2

Combine like terms: 10 + -2 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6

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