40-x=4(-3-6x)+6

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Solution for 40-x=4(-3-6x)+6 equation:


Simplifying
40 + -1x = 4(-3 + -6x) + 6
40 + -1x = (-3 * 4 + -6x * 4) + 6
40 + -1x = (-12 + -24x) + 6

Reorder the terms:
40 + -1x = -12 + 6 + -24x

Combine like terms: -12 + 6 = -6
40 + -1x = -6 + -24x

Solving
40 + -1x = -6 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
40 + -1x + 24x = -6 + -24x + 24x

Combine like terms: -1x + 24x = 23x
40 + 23x = -6 + -24x + 24x

Combine like terms: -24x + 24x = 0
40 + 23x = -6 + 0
40 + 23x = -6

Add '-40' to each side of the equation.
40 + -40 + 23x = -6 + -40

Combine like terms: 40 + -40 = 0
0 + 23x = -6 + -40
23x = -6 + -40

Combine like terms: -6 + -40 = -46
23x = -46

Divide each side by '23'.
x = -2

Simplifying
x = -2

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