42-(2x+3)+2(x+7)=x

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Solution for 42-(2x+3)+2(x+7)=x equation:


Simplifying
42 + -1(2x + 3) + 2(x + 7) = x

Reorder the terms:
42 + -1(3 + 2x) + 2(x + 7) = x
42 + (3 * -1 + 2x * -1) + 2(x + 7) = x
42 + (-3 + -2x) + 2(x + 7) = x

Reorder the terms:
42 + -3 + -2x + 2(7 + x) = x
42 + -3 + -2x + (7 * 2 + x * 2) = x
42 + -3 + -2x + (14 + 2x) = x

Reorder the terms:
42 + -3 + 14 + -2x + 2x = x

Combine like terms: 42 + -3 = 39
39 + 14 + -2x + 2x = x

Combine like terms: 39 + 14 = 53
53 + -2x + 2x = x

Combine like terms: -2x + 2x = 0
53 + 0 = x
53 = x

Solving
53 = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
53 + -1x = x + -1x

Combine like terms: x + -1x = 0
53 + -1x = 0

Add '-53' to each side of the equation.
53 + -53 + -1x = 0 + -53

Combine like terms: 53 + -53 = 0
0 + -1x = 0 + -53
-1x = 0 + -53

Combine like terms: 0 + -53 = -53
-1x = -53

Divide each side by '-1'.
x = 53

Simplifying
x = 53

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