5x-2(1+x)=7

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Solution for 5x-2(1+x)=7 equation:


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

Reorder the terms:
-2 + 5x + -2x = 7

Combine like terms: 5x + -2x = 3x
-2 + 3x = 7

Solving
-2 + 3x = 7

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 3x = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 7 + 2
3x = 7 + 2

Combine like terms: 7 + 2 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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