(4x+1)-6+(3x-4)=5x

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Solution for (4x+1)-6+(3x-4)=5x equation:


Simplifying
(4x + 1) + -6 + (3x + -4) = 5x

Reorder the terms:
(1 + 4x) + -6 + (3x + -4) = 5x

Remove parenthesis around (1 + 4x)
1 + 4x + -6 + (3x + -4) = 5x

Reorder the terms:
1 + 4x + -6 + (-4 + 3x) = 5x

Remove parenthesis around (-4 + 3x)
1 + 4x + -6 + -4 + 3x = 5x

Reorder the terms:
1 + -6 + -4 + 4x + 3x = 5x

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

Combine like terms: -5 + -4 = -9
-9 + 4x + 3x = 5x

Combine like terms: 4x + 3x = 7x
-9 + 7x = 5x

Solving
-9 + 7x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-9 + 7x + -5x = 5x + -5x

Combine like terms: 7x + -5x = 2x
-9 + 2x = 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + 2x = 0

Add '9' to each side of the equation.
-9 + 9 + 2x = 0 + 9

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

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

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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