4x-7+2x=(3x-3)-1

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Solution for 4x-7+2x=(3x-3)-1 equation:


Simplifying
4x + -7 + 2x = (3x + -3) + -1

Reorder the terms:
-7 + 4x + 2x = (3x + -3) + -1

Combine like terms: 4x + 2x = 6x
-7 + 6x = (3x + -3) + -1

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

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

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

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

Solving
-7 + 6x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7 + 6x + -3x = -4 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-7 + 3x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 3x = -4 + 0
-7 + 3x = -4

Add '7' to each side of the equation.
-7 + 7 + 3x = -4 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = -4 + 7
3x = -4 + 7

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

Divide each side by '3'.
x = 1

Simplifying
x = 1

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