7x+13=3x-24

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Solution for 7x+13=3x-24 equation:


Simplifying
7x + 13 = 3x + -24

Reorder the terms:
13 + 7x = 3x + -24

Reorder the terms:
13 + 7x = -24 + 3x

Solving
13 + 7x = -24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
13 + 7x + -3x = -24 + 3x + -3x

Combine like terms: 7x + -3x = 4x
13 + 4x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + 4x = -24 + 0
13 + 4x = -24

Add '-13' to each side of the equation.
13 + -13 + 4x = -24 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = -24 + -13
4x = -24 + -13

Combine like terms: -24 + -13 = -37
4x = -37

Divide each side by '4'.
x = -9.25

Simplifying
x = -9.25

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