10x+4=3x-24

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Solution for 10x+4=3x-24 equation:


Simplifying
10x + 4 = 3x + -24

Reorder the terms:
4 + 10x = 3x + -24

Reorder the terms:
4 + 10x = -24 + 3x

Solving
4 + 10x = -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.
4 + 10x + -3x = -24 + 3x + -3x

Combine like terms: 10x + -3x = 7x
4 + 7x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 7x = -24 + 0
4 + 7x = -24

Add '-4' to each side of the equation.
4 + -4 + 7x = -24 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = -24 + -4
7x = -24 + -4

Combine like terms: -24 + -4 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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