(3x-1)+7=8x+(3-2x)

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Solution for (3x-1)+7=8x+(3-2x) equation:


Simplifying
(3x + -1) + 7 = 8x + (3 + -2x)

Reorder the terms:
(-1 + 3x) + 7 = 8x + (3 + -2x)

Remove parenthesis around (-1 + 3x)
-1 + 3x + 7 = 8x + (3 + -2x)

Reorder the terms:
-1 + 7 + 3x = 8x + (3 + -2x)

Combine like terms: -1 + 7 = 6
6 + 3x = 8x + (3 + -2x)

Remove parenthesis around (3 + -2x)
6 + 3x = 8x + 3 + -2x

Reorder the terms:
6 + 3x = 3 + 8x + -2x

Combine like terms: 8x + -2x = 6x
6 + 3x = 3 + 6x

Solving
6 + 3x = 3 + 6x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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