8x-7=3x+10

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


Simplifying
8x + -7 = 3x + 10

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

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

Solving
-7 + 8x = 10 + 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.
-7 + 8x + -3x = 10 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-7 + 5x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 5x = 10 + 0
-7 + 5x = 10

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

Combine like terms: -7 + 7 = 0
0 + 5x = 10 + 7
5x = 10 + 7

Combine like terms: 10 + 7 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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