40=6x-5(x-6)

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Solution for 40=6x-5(x-6) equation:


Simplifying
40 = 6x + -5(x + -6)

Reorder the terms:
40 = 6x + -5(-6 + x)
40 = 6x + (-6 * -5 + x * -5)
40 = 6x + (30 + -5x)

Reorder the terms:
40 = 30 + 6x + -5x

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

Solving
40 = 30 + 1x

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 + -1x = 30 + 1x + -1x

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

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

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

Combine like terms: 30 + -40 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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