3x+7=5x-13x

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


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

Reorder the terms:
7 + 3x = 5x + -13x

Combine like terms: 5x + -13x = -8x
7 + 3x = -8x

Solving
7 + 3x = -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
7 + 3x + 8x = -8x + 8x

Combine like terms: 3x + 8x = 11x
7 + 11x = -8x + 8x

Combine like terms: -8x + 8x = 0
7 + 11x = 0

Add '-7' to each side of the equation.
7 + -7 + 11x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 11x = 0 + -7
11x = 0 + -7

Combine like terms: 0 + -7 = -7
11x = -7

Divide each side by '11'.
x = -0.6363636364

Simplifying
x = -0.6363636364

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