7-2(3-x)=6-5x

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Solution for 7-2(3-x)=6-5x equation:


Simplifying
7 + -2(3 + -1x) = 6 + -5x
7 + (3 * -2 + -1x * -2) = 6 + -5x
7 + (-6 + 2x) = 6 + -5x

Combine like terms: 7 + -6 = 1
1 + 2x = 6 + -5x

Solving
1 + 2x = 6 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
1 + 2x + 5x = 6 + -5x + 5x

Combine like terms: 2x + 5x = 7x
1 + 7x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
1 + 7x = 6 + 0
1 + 7x = 6

Add '-1' to each side of the equation.
1 + -1 + 7x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 6 + -1
7x = 6 + -1

Combine like terms: 6 + -1 = 5
7x = 5

Divide each side by '7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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