5+2x-3(x-4)=13

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Solution for 5+2x-3(x-4)=13 equation:


Simplifying
5 + 2x + -3(x + -4) = 13

Reorder the terms:
5 + 2x + -3(-4 + x) = 13
5 + 2x + (-4 * -3 + x * -3) = 13
5 + 2x + (12 + -3x) = 13

Reorder the terms:
5 + 12 + 2x + -3x = 13

Combine like terms: 5 + 12 = 17
17 + 2x + -3x = 13

Combine like terms: 2x + -3x = -1x
17 + -1x = 13

Solving
17 + -1x = 13

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 13 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 13 + -17
-1x = 13 + -17

Combine like terms: 13 + -17 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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