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

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


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

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

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

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

Combine like terms: 6x + 3x = 9x
-7 + 9x = 4x + (4x + -1)

Reorder the terms:
-7 + 9x = 4x + (-1 + 4x)

Remove parenthesis around (-1 + 4x)
-7 + 9x = 4x + -1 + 4x

Reorder the terms:
-7 + 9x = -1 + 4x + 4x

Combine like terms: 4x + 4x = 8x
-7 + 9x = -1 + 8x

Solving
-7 + 9x = -1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-7 + 9x + -8x = -1 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-7 + 1x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + 1x = -1 + 0
-7 + 1x = -1

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

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

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

Divide each side by '1'.
x = 6

Simplifying
x = 6

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