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

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


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

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

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

Combine like terms: 3x + -2x = 1x
7 + 1x = 3(1 + x)
7 + 1x = (1 * 3 + x * 3)
7 + 1x = (3 + 3x)

Solving
7 + 1x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + 1x + -3x = 3 + 3x + -3x

Combine like terms: 1x + -3x = -2x
7 + -2x = 3 + 3x + -3x

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

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

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

Combine like terms: 3 + -7 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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