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

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


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

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

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

Solving
-6 + 2x = 5 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-6 + 2x + 5x = 5 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-6 + 7x = 5 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 7x = 5 + 0
-6 + 7x = 5

Add '6' to each side of the equation.
-6 + 6 + 7x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 5 + 6
7x = 5 + 6

Combine like terms: 5 + 6 = 11
7x = 11

Divide each side by '7'.
x = 1.571428571

Simplifying
x = 1.571428571

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