2(x-1)-3(2-x)+5=0

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Solution for 2(x-1)-3(2-x)+5=0 equation:


Simplifying
2(x + -1) + -3(2 + -1x) + 5 = 0

Reorder the terms:
2(-1 + x) + -3(2 + -1x) + 5 = 0
(-1 * 2 + x * 2) + -3(2 + -1x) + 5 = 0
(-2 + 2x) + -3(2 + -1x) + 5 = 0
-2 + 2x + (2 * -3 + -1x * -3) + 5 = 0
-2 + 2x + (-6 + 3x) + 5 = 0

Reorder the terms:
-2 + -6 + 5 + 2x + 3x = 0

Combine like terms: -2 + -6 = -8
-8 + 5 + 2x + 3x = 0

Combine like terms: -8 + 5 = -3
-3 + 2x + 3x = 0

Combine like terms: 2x + 3x = 5x
-3 + 5x = 0

Solving
-3 + 5x = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 0 + 3
5x = 0 + 3

Combine like terms: 0 + 3 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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