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

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


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

Reorder the terms:
7(6 + 2x) = 4x + -2
(6 * 7 + 2x * 7) = 4x + -2
(42 + 14x) = 4x + -2

Reorder the terms:
42 + 14x = -2 + 4x

Solving
42 + 14x = -2 + 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 + 14x + -4x = -2 + 4x + -4x

Combine like terms: 14x + -4x = 10x
42 + 10x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
42 + 10x = -2 + 0
42 + 10x = -2

Add '-42' to each side of the equation.
42 + -42 + 10x = -2 + -42

Combine like terms: 42 + -42 = 0
0 + 10x = -2 + -42
10x = -2 + -42

Combine like terms: -2 + -42 = -44
10x = -44

Divide each side by '10'.
x = -4.4

Simplifying
x = -4.4

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