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

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


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

Reorder the terms:
7 + -1(2 + 3x) * 2 = 5 + -1x

Reorder the terms for easier multiplication:
7 + -1 * 2(2 + 3x) = 5 + -1x

Multiply -1 * 2
7 + -2(2 + 3x) = 5 + -1x
7 + (2 * -2 + 3x * -2) = 5 + -1x
7 + (-4 + -6x) = 5 + -1x

Combine like terms: 7 + -4 = 3
3 + -6x = 5 + -1x

Solving
3 + -6x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + -6x + x = 5 + -1x + x

Combine like terms: -6x + x = -5x
3 + -5x = 5 + -1x + x

Combine like terms: -1x + x = 0
3 + -5x = 5 + 0
3 + -5x = 5

Add '-3' to each side of the equation.
3 + -3 + -5x = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 5 + -3
-5x = 5 + -3

Combine like terms: 5 + -3 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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