7x+2=5x+10

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Solution for 7x+2=5x+10 equation:


Simplifying
7x + 2 = 5x + 10

Reorder the terms:
2 + 7x = 5x + 10

Reorder the terms:
2 + 7x = 10 + 5x

Solving
2 + 7x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 7x + -5x = 10 + 5x + -5x

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

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

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

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

Combine like terms: 10 + -2 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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