2(x-5)+8=3(1-x)

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Solution for 2(x-5)+8=3(1-x) equation:


Simplifying
2(x + -5) + 8 = 3(1 + -1x)

Reorder the terms:
2(-5 + x) + 8 = 3(1 + -1x)
(-5 * 2 + x * 2) + 8 = 3(1 + -1x)
(-10 + 2x) + 8 = 3(1 + -1x)

Reorder the terms:
-10 + 8 + 2x = 3(1 + -1x)

Combine like terms: -10 + 8 = -2
-2 + 2x = 3(1 + -1x)
-2 + 2x = (1 * 3 + -1x * 3)
-2 + 2x = (3 + -3x)

Solving
-2 + 2x = 3 + -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.
-2 + 2x + 3x = 3 + -3x + 3x

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

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

Add '2' to each side of the equation.
-2 + 2 + 5x = 3 + 2

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

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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