3x+40=8x+10

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Solution for 3x+40=8x+10 equation:


Simplifying
3x + 40 = 8x + 10

Reorder the terms:
40 + 3x = 8x + 10

Reorder the terms:
40 + 3x = 10 + 8x

Solving
40 + 3x = 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.
40 + 3x + -8x = 10 + 8x + -8x

Combine like terms: 3x + -8x = -5x
40 + -5x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
40 + -5x = 10 + 0
40 + -5x = 10

Add '-40' to each side of the equation.
40 + -40 + -5x = 10 + -40

Combine like terms: 40 + -40 = 0
0 + -5x = 10 + -40
-5x = 10 + -40

Combine like terms: 10 + -40 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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