3*(x-2)=7-2*(5-x)

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Solution for 3*(x-2)=7-2*(5-x) equation:


Simplifying
3(x + -2) = 7 + -2(5 + -1x)

Reorder the terms:
3(-2 + x) = 7 + -2(5 + -1x)
(-2 * 3 + x * 3) = 7 + -2(5 + -1x)
(-6 + 3x) = 7 + -2(5 + -1x)
-6 + 3x = 7 + (5 * -2 + -1x * -2)
-6 + 3x = 7 + (-10 + 2x)

Combine like terms: 7 + -10 = -3
-6 + 3x = -3 + 2x

Solving
-6 + 3x = -3 + 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 + 3x + -2x = -3 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-6 + 1x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 1x = -3 + 0
-6 + 1x = -3

Add '6' to each side of the equation.
-6 + 6 + 1x = -3 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = -3 + 6
1x = -3 + 6

Combine like terms: -3 + 6 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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