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

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


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

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

Combine like terms: 6x + 3x = 9x
-4 + 9x + x = 5x + 1

Combine like terms: 9x + x = 10x
-4 + 10x = 5x + 1

Reorder the terms:
-4 + 10x = 1 + 5x

Solving
-4 + 10x = 1 + 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.
-4 + 10x + -5x = 1 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-4 + 5x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 5x = 1 + 0
-4 + 5x = 1

Add '4' to each side of the equation.
-4 + 4 + 5x = 1 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 1 + 4
5x = 1 + 4

Combine like terms: 1 + 4 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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