42=5x+6(x-4)

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Solution for 42=5x+6(x-4) equation:


Simplifying
42 = 5x + 6(x + -4)

Reorder the terms:
42 = 5x + 6(-4 + x)
42 = 5x + (-4 * 6 + x * 6)
42 = 5x + (-24 + 6x)

Reorder the terms:
42 = -24 + 5x + 6x

Combine like terms: 5x + 6x = 11x
42 = -24 + 11x

Solving
42 = -24 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
42 + -11x = -24 + 11x + -11x

Combine like terms: 11x + -11x = 0
42 + -11x = -24 + 0
42 + -11x = -24

Add '-42' to each side of the equation.
42 + -42 + -11x = -24 + -42

Combine like terms: 42 + -42 = 0
0 + -11x = -24 + -42
-11x = -24 + -42

Combine like terms: -24 + -42 = -66
-11x = -66

Divide each side by '-11'.
x = 6

Simplifying
x = 6

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