2x+3(x-1)=7

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Solution for 2x+3(x-1)=7 equation:


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

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

Reorder the terms:
-3 + 2x + 3x = 7

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

Solving
-3 + 5x = 7

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 5x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 7 + 3
5x = 7 + 3

Combine like terms: 7 + 3 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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