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

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


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

Reorder the terms:
3(1 + 2x) + -2(x + 1) = 7 + 3x
(1 * 3 + 2x * 3) + -2(x + 1) = 7 + 3x
(3 + 6x) + -2(x + 1) = 7 + 3x

Reorder the terms:
3 + 6x + -2(1 + x) = 7 + 3x
3 + 6x + (1 * -2 + x * -2) = 7 + 3x
3 + 6x + (-2 + -2x) = 7 + 3x

Reorder the terms:
3 + -2 + 6x + -2x = 7 + 3x

Combine like terms: 3 + -2 = 1
1 + 6x + -2x = 7 + 3x

Combine like terms: 6x + -2x = 4x
1 + 4x = 7 + 3x

Solving
1 + 4x = 7 + 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.
1 + 4x + -3x = 7 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
1 + 1x = 7 + 0
1 + 1x = 7

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

Combine like terms: 1 + -1 = 0
0 + 1x = 7 + -1
1x = 7 + -1

Combine like terms: 7 + -1 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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