(3x+4)+(2x+1)=6x-7

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Solution for (3x+4)+(2x+1)=6x-7 equation:


Simplifying
(3x + 4) + (2x + 1) = 6x + -7

Reorder the terms:
(4 + 3x) + (2x + 1) = 6x + -7

Remove parenthesis around (4 + 3x)
4 + 3x + (2x + 1) = 6x + -7

Reorder the terms:
4 + 3x + (1 + 2x) = 6x + -7

Remove parenthesis around (1 + 2x)
4 + 3x + 1 + 2x = 6x + -7

Reorder the terms:
4 + 1 + 3x + 2x = 6x + -7

Combine like terms: 4 + 1 = 5
5 + 3x + 2x = 6x + -7

Combine like terms: 3x + 2x = 5x
5 + 5x = 6x + -7

Reorder the terms:
5 + 5x = -7 + 6x

Solving
5 + 5x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 5x + -6x = -7 + 6x + -6x

Combine like terms: 5x + -6x = -1x
5 + -1x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -1x = -7 + 0
5 + -1x = -7

Add '-5' to each side of the equation.
5 + -5 + -1x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -7 + -5
-1x = -7 + -5

Combine like terms: -7 + -5 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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