7x+5=4x-13

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Solution for 7x+5=4x-13 equation:


Simplifying
7x + 5 = 4x + -13

Reorder the terms:
5 + 7x = 4x + -13

Reorder the terms:
5 + 7x = -13 + 4x

Solving
5 + 7x = -13 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 7x + -4x = -13 + 4x + -4x

Combine like terms: 7x + -4x = 3x
5 + 3x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + 3x = -13 + 0
5 + 3x = -13

Add '-5' to each side of the equation.
5 + -5 + 3x = -13 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = -13 + -5
3x = -13 + -5

Combine like terms: -13 + -5 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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