7=2x+4(-2x)

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


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

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

Multiply 4 * -2
7 = 2x + -8x

Combine like terms: 2x + -8x = -6x
7 = -6x

Solving
7 = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
7 + 6x = -6x + 6x

Combine like terms: -6x + 6x = 0
7 + 6x = 0

Add '-7' to each side of the equation.
7 + -7 + 6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 0 + -7
6x = 0 + -7

Combine like terms: 0 + -7 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667

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