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

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


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

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

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

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

Solving
-6 + 2x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-6 + 2x + 3x = 8 + -3x + 3x

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

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

Add '6' to each side of the equation.
-6 + 6 + 5x = 8 + 6

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

Combine like terms: 8 + 6 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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