-3(x-10)+5(x-2)=3x+13

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Solution for -3(x-10)+5(x-2)=3x+13 equation:


Simplifying
-3(x + -10) + 5(x + -2) = 3x + 13

Reorder the terms:
-3(-10 + x) + 5(x + -2) = 3x + 13
(-10 * -3 + x * -3) + 5(x + -2) = 3x + 13
(30 + -3x) + 5(x + -2) = 3x + 13

Reorder the terms:
30 + -3x + 5(-2 + x) = 3x + 13
30 + -3x + (-2 * 5 + x * 5) = 3x + 13
30 + -3x + (-10 + 5x) = 3x + 13

Reorder the terms:
30 + -10 + -3x + 5x = 3x + 13

Combine like terms: 30 + -10 = 20
20 + -3x + 5x = 3x + 13

Combine like terms: -3x + 5x = 2x
20 + 2x = 3x + 13

Reorder the terms:
20 + 2x = 13 + 3x

Solving
20 + 2x = 13 + 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.
20 + 2x + -3x = 13 + 3x + -3x

Combine like terms: 2x + -3x = -1x
20 + -1x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -1x = 13 + 0
20 + -1x = 13

Add '-20' to each side of the equation.
20 + -20 + -1x = 13 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 13 + -20
-1x = 13 + -20

Combine like terms: 13 + -20 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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