(7x+3)=(4x-5x+6)

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Solution for (7x+3)=(4x-5x+6) equation:


Simplifying
(7x + 3) = (4x + -5x + 6)

Reorder the terms:
(3 + 7x) = (4x + -5x + 6)

Remove parenthesis around (3 + 7x)
3 + 7x = (4x + -5x + 6)

Reorder the terms:
3 + 7x = (6 + 4x + -5x)

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

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

Solving
3 + 7x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + 7x + x = 6 + -1x + x

Combine like terms: 7x + x = 8x
3 + 8x = 6 + -1x + x

Combine like terms: -1x + x = 0
3 + 8x = 6 + 0
3 + 8x = 6

Add '-3' to each side of the equation.
3 + -3 + 8x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = 6 + -3
8x = 6 + -3

Combine like terms: 6 + -3 = 3
8x = 3

Divide each side by '8'.
x = 0.375

Simplifying
x = 0.375

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