6x+40=x-30

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Solution for 6x+40=x-30 equation:


Simplifying
6x + 40 = x + -30

Reorder the terms:
40 + 6x = x + -30

Reorder the terms:
40 + 6x = -30 + x

Solving
40 + 6x = -30 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
40 + 6x + -1x = -30 + x + -1x

Combine like terms: 6x + -1x = 5x
40 + 5x = -30 + x + -1x

Combine like terms: x + -1x = 0
40 + 5x = -30 + 0
40 + 5x = -30

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

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

Combine like terms: -30 + -40 = -70
5x = -70

Divide each side by '5'.
x = -14

Simplifying
x = -14

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