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

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


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

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

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

Combine like terms: 5 + 6 = 11
-6 + 3x = 11 + -2x

Solving
-6 + 3x = 11 + -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 = 11 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-6 + 5x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 5x = 11 + 0
-6 + 5x = 11

Add '6' to each side of the equation.
-6 + 6 + 5x = 11 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 11 + 6
5x = 11 + 6

Combine like terms: 11 + 6 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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