7(6-x)=16+(2-4x)

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Solution for 7(6-x)=16+(2-4x) equation:


Simplifying
7(6 + -1x) = 16 + (2 + -4x)
(6 * 7 + -1x * 7) = 16 + (2 + -4x)
(42 + -7x) = 16 + (2 + -4x)

Remove parenthesis around (2 + -4x)
42 + -7x = 16 + 2 + -4x

Combine like terms: 16 + 2 = 18
42 + -7x = 18 + -4x

Solving
42 + -7x = 18 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
42 + -7x + 4x = 18 + -4x + 4x

Combine like terms: -7x + 4x = -3x
42 + -3x = 18 + -4x + 4x

Combine like terms: -4x + 4x = 0
42 + -3x = 18 + 0
42 + -3x = 18

Add '-42' to each side of the equation.
42 + -42 + -3x = 18 + -42

Combine like terms: 42 + -42 = 0
0 + -3x = 18 + -42
-3x = 18 + -42

Combine like terms: 18 + -42 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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