3(x-7)=5x+13

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Solution for 3(x-7)=5x+13 equation:


Simplifying
3(x + -7) = 5x + 13

Reorder the terms:
3(-7 + x) = 5x + 13
(-7 * 3 + x * 3) = 5x + 13
(-21 + 3x) = 5x + 13

Reorder the terms:
-21 + 3x = 13 + 5x

Solving
-21 + 3x = 13 + 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.
-21 + 3x + -5x = 13 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-21 + -2x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-21 + -2x = 13 + 0
-21 + -2x = 13

Add '21' to each side of the equation.
-21 + 21 + -2x = 13 + 21

Combine like terms: -21 + 21 = 0
0 + -2x = 13 + 21
-2x = 13 + 21

Combine like terms: 13 + 21 = 34
-2x = 34

Divide each side by '-2'.
x = -17

Simplifying
x = -17

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