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

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


Simplifying
6 + 2(x + -2) = 7 + -7(x + -5)

Reorder the terms:
6 + 2(-2 + x) = 7 + -7(x + -5)
6 + (-2 * 2 + x * 2) = 7 + -7(x + -5)
6 + (-4 + 2x) = 7 + -7(x + -5)

Combine like terms: 6 + -4 = 2
2 + 2x = 7 + -7(x + -5)

Reorder the terms:
2 + 2x = 7 + -7(-5 + x)
2 + 2x = 7 + (-5 * -7 + x * -7)
2 + 2x = 7 + (35 + -7x)

Combine like terms: 7 + 35 = 42
2 + 2x = 42 + -7x

Solving
2 + 2x = 42 + -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.
2 + 2x + 7x = 42 + -7x + 7x

Combine like terms: 2x + 7x = 9x
2 + 9x = 42 + -7x + 7x

Combine like terms: -7x + 7x = 0
2 + 9x = 42 + 0
2 + 9x = 42

Add '-2' to each side of the equation.
2 + -2 + 9x = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 42 + -2
9x = 42 + -2

Combine like terms: 42 + -2 = 40
9x = 40

Divide each side by '9'.
x = 4.444444444

Simplifying
x = 4.444444444

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