7x+3=8x+10

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Solution for 7x+3=8x+10 equation:


Simplifying
7x + 3 = 8x + 10

Reorder the terms:
3 + 7x = 8x + 10

Reorder the terms:
3 + 7x = 10 + 8x

Solving
3 + 7x = 10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + 7x + -8x = 10 + 8x + -8x

Combine like terms: 7x + -8x = -1x
3 + -1x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -1x = 10 + 0
3 + -1x = 10

Add '-3' to each side of the equation.
3 + -3 + -1x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 10 + -3
-1x = 10 + -3

Combine like terms: 10 + -3 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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