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

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


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

Reorder the terms:
-7 + 4x = 3(3 + -1x) + -2
-7 + 4x = (3 * 3 + -1x * 3) + -2
-7 + 4x = (9 + -3x) + -2

Reorder the terms:
-7 + 4x = 9 + -2 + -3x

Combine like terms: 9 + -2 = 7
-7 + 4x = 7 + -3x

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

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

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

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

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

Combine like terms: 7 + 7 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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