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

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


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

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

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

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

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

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

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

Combine like terms: 6x + 3x = 9x
-3 + 9x = 2x + -3

Reorder the terms:
-3 + 9x = -3 + 2x

Add '3' to each side of the equation.
-3 + 3 + 9x = -3 + 3 + 2x

Combine like terms: -3 + 3 = 0
0 + 9x = -3 + 3 + 2x
9x = -3 + 3 + 2x

Combine like terms: -3 + 3 = 0
9x = 0 + 2x
9x = 2x

Solving
9x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9x + -2x = 2x + -2x

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

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

Divide each side by '7'.
x = 0

Simplifying
x = 0

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