x+40=6x-10

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Solution for x+40=6x-10 equation:


Simplifying
x + 40 = 6x + -10

Reorder the terms:
40 + x = 6x + -10

Reorder the terms:
40 + x = -10 + 6x

Solving
40 + x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
40 + x + -6x = -10 + 6x + -6x

Combine like terms: x + -6x = -5x
40 + -5x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 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 = -50
-5x = -50

Divide each side by '-5'.
x = 10

Simplifying
x = 10

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