10+3(x-13)=-5(1-x)+1

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Solution for 10+3(x-13)=-5(1-x)+1 equation:


Simplifying
10 + 3(x + -13) = -5(1 + -1x) + 1

Reorder the terms:
10 + 3(-13 + x) = -5(1 + -1x) + 1
10 + (-13 * 3 + x * 3) = -5(1 + -1x) + 1
10 + (-39 + 3x) = -5(1 + -1x) + 1

Combine like terms: 10 + -39 = -29
-29 + 3x = -5(1 + -1x) + 1
-29 + 3x = (1 * -5 + -1x * -5) + 1
-29 + 3x = (-5 + 5x) + 1

Reorder the terms:
-29 + 3x = -5 + 1 + 5x

Combine like terms: -5 + 1 = -4
-29 + 3x = -4 + 5x

Solving
-29 + 3x = -4 + 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.
-29 + 3x + -5x = -4 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-29 + -2x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-29 + -2x = -4 + 0
-29 + -2x = -4

Add '29' to each side of the equation.
-29 + 29 + -2x = -4 + 29

Combine like terms: -29 + 29 = 0
0 + -2x = -4 + 29
-2x = -4 + 29

Combine like terms: -4 + 29 = 25
-2x = 25

Divide each side by '-2'.
x = -12.5

Simplifying
x = -12.5

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