6-(4x-4)=20-7x

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Solution for 6-(4x-4)=20-7x equation:


Simplifying
6 + -1(4x + -4) = 20 + -7x

Reorder the terms:
6 + -1(-4 + 4x) = 20 + -7x
6 + (-4 * -1 + 4x * -1) = 20 + -7x
6 + (4 + -4x) = 20 + -7x

Combine like terms: 6 + 4 = 10
10 + -4x = 20 + -7x

Solving
10 + -4x = 20 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
10 + -4x + 7x = 20 + -7x + 7x

Combine like terms: -4x + 7x = 3x
10 + 3x = 20 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 3x = 20 + 0
10 + 3x = 20

Add '-10' to each side of the equation.
10 + -10 + 3x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 20 + -10
3x = 20 + -10

Combine like terms: 20 + -10 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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