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

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


Simplifying
13 + -1(2x + -10) = 5x + 3

Reorder the terms:
13 + -1(-10 + 2x) = 5x + 3
13 + (-10 * -1 + 2x * -1) = 5x + 3
13 + (10 + -2x) = 5x + 3

Combine like terms: 13 + 10 = 23
23 + -2x = 5x + 3

Reorder the terms:
23 + -2x = 3 + 5x

Solving
23 + -2x = 3 + 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.
23 + -2x + -5x = 3 + 5x + -5x

Combine like terms: -2x + -5x = -7x
23 + -7x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
23 + -7x = 3 + 0
23 + -7x = 3

Add '-23' to each side of the equation.
23 + -23 + -7x = 3 + -23

Combine like terms: 23 + -23 = 0
0 + -7x = 3 + -23
-7x = 3 + -23

Combine like terms: 3 + -23 = -20
-7x = -20

Divide each side by '-7'.
x = 2.857142857

Simplifying
x = 2.857142857

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