3x+10=7x-8

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


Simplifying
3x + 10 = 7x + -8

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

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

Solving
10 + 3x = -8 + 7x

Solving for variable 'x'.

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

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

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

Combine like terms: 7x + -7x = 0
10 + -4x = -8 + 0
10 + -4x = -8

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

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

Combine like terms: -8 + -10 = -18
-4x = -18

Divide each side by '-4'.
x = 4.5

Simplifying
x = 4.5

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