10x+4=7x-2

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Solution for 10x+4=7x-2 equation:


Simplifying
10x + 4 = 7x + -2

Reorder the terms:
4 + 10x = 7x + -2

Reorder the terms:
4 + 10x = -2 + 7x

Solving
4 + 10x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
4 + 10x + -7x = -2 + 7x + -7x

Combine like terms: 10x + -7x = 3x
4 + 3x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + 3x = -2 + 0
4 + 3x = -2

Add '-4' to each side of the equation.
4 + -4 + 3x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = -2 + -4
3x = -2 + -4

Combine like terms: -2 + -4 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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