7x-8=4x+10

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Solution for 7x-8=4x+10 equation:


Simplifying
7x + -8 = 4x + 10

Reorder the terms:
-8 + 7x = 4x + 10

Reorder the terms:
-8 + 7x = 10 + 4x

Solving
-8 + 7x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + 7x + -4x = 10 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-8 + 3x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + 3x = 10 + 0
-8 + 3x = 10

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

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

Combine like terms: 10 + 8 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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