5(x-2)+2(1-3x)=10

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Solution for 5(x-2)+2(1-3x)=10 equation: 


Simplifying
5(x + -2) + 2(1 + -3x) = 10

Reorder the terms:
5(-2 + x) + 2(1 + -3x) = 10
(-2 * 5 + x * 5) + 2(1 + -3x) = 10
(-10 + 5x) + 2(1 + -3x) = 10
-10 + 5x + (1 * 2 + -3x * 2) = 10
-10 + 5x + (2 + -6x) = 10

Reorder the terms:
-10 + 2 + 5x + -6x = 10

Combine like terms: -10 + 2 = -8
-8 + 5x + -6x = 10

Combine like terms: 5x + -6x = -1x
-8 + -1x = 10

Solving
-8 + -1x = 10

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 10 + 8
-1x = 10 + 8

Combine like terms: 10 + 8 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18

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