7x+10=2x-6

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Solution for 7x+10=2x-6 equation:


Simplifying
7x + 10 = 2x + -6

Reorder the terms:
10 + 7x = 2x + -6

Reorder the terms:
10 + 7x = -6 + 2x

Solving
10 + 7x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + 7x + -2x = -6 + 2x + -2x

Combine like terms: 7x + -2x = 5x
10 + 5x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 5x = -6 + 0
10 + 5x = -6

Add '-10' to each side of the equation.
10 + -10 + 5x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = -6 + -10
5x = -6 + -10

Combine like terms: -6 + -10 = -16
5x = -16

Divide each side by '5'.
x = -3.2

Simplifying
x = -3.2

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