10+3(x-13)=-5(1-5)+14

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Solution for 10+3(x-13)=-5(1-5)+14 equation: 


Simplifying
10 + 3(x + -13) = -5(1 + -5) + 14

Reorder the terms:
10 + 3(-13 + x) = -5(1 + -5) + 14
10 + (-13 * 3 + x * 3) = -5(1 + -5) + 14
10 + (-39 + 3x) = -5(1 + -5) + 14

Combine like terms: 10 + -39 = -29
-29 + 3x = -5(1 + -5) + 14

Combine like terms: 1 + -5 = -4
-29 + 3x = -5(-4) + 14

Multiply -5 * -4
-29 + 3x = 20 + 14

Combine like terms: 20 + 14 = 34
-29 + 3x = 34

Solving
-29 + 3x = 34

Solving for variable 'x'.

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

Add '29' to each side of the equation.
-29 + 29 + 3x = 34 + 29

Combine like terms: -29 + 29 = 0
0 + 3x = 34 + 29
3x = 34 + 29

Combine like terms: 34 + 29 = 63
3x = 63

Divide each side by '3'.
x = 21

Simplifying
x = 21

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