7x+2=2-(4x-5)

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Solution for 7x+2=2-(4x-5) equation:


Simplifying
7x + 2 = 2 + -1(4x + -5)

Reorder the terms:
2 + 7x = 2 + -1(4x + -5)

Reorder the terms:
2 + 7x = 2 + -1(-5 + 4x)
2 + 7x = 2 + (-5 * -1 + 4x * -1)
2 + 7x = 2 + (5 + -4x)

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

Solving
2 + 7x = 7 + -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.
2 + 7x + 4x = 7 + -4x + 4x

Combine like terms: 7x + 4x = 11x
2 + 11x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 11x = 7 + 0
2 + 11x = 7

Add '-2' to each side of the equation.
2 + -2 + 11x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 11x = 7 + -2
11x = 7 + -2

Combine like terms: 7 + -2 = 5
11x = 5

Divide each side by '11'.
x = 0.4545454545

Simplifying
x = 0.4545454545

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