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

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


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

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

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

Combine like terms: -6 + 5 = -1
-1 + 2x + -5x = 2

Combine like terms: 2x + -5x = -3x
-1 + -3x = 2

Solving
-1 + -3x = 2

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -3x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 2 + 1
-3x = 2 + 1

Combine like terms: 2 + 1 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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