3x+30=8x+40

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Solution for 3x+30=8x+40 equation:


Simplifying
3x + 30 = 8x + 40

Reorder the terms:
30 + 3x = 8x + 40

Reorder the terms:
30 + 3x = 40 + 8x

Solving
30 + 3x = 40 + 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.
30 + 3x + -8x = 40 + 8x + -8x

Combine like terms: 3x + -8x = -5x
30 + -5x = 40 + 8x + -8x

Combine like terms: 8x + -8x = 0
30 + -5x = 40 + 0
30 + -5x = 40

Add '-30' to each side of the equation.
30 + -30 + -5x = 40 + -30

Combine like terms: 30 + -30 = 0
0 + -5x = 40 + -30
-5x = 40 + -30

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

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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