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

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


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

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

Remove parenthesis around (3 + x)
3 + x + -2(4 + -3x) = 3(x + 3) + -2
3 + x + (4 * -2 + -3x * -2) = 3(x + 3) + -2
3 + x + (-8 + 6x) = 3(x + 3) + -2

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

Combine like terms: 3 + -8 = -5
-5 + x + 6x = 3(x + 3) + -2

Combine like terms: x + 6x = 7x
-5 + 7x = 3(x + 3) + -2

Reorder the terms:
-5 + 7x = 3(3 + x) + -2
-5 + 7x = (3 * 3 + x * 3) + -2
-5 + 7x = (9 + 3x) + -2

Reorder the terms:
-5 + 7x = 9 + -2 + 3x

Combine like terms: 9 + -2 = 7
-5 + 7x = 7 + 3x

Solving
-5 + 7x = 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.
-5 + 7x + -3x = 7 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-5 + 4x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 4x = 7 + 0
-5 + 4x = 7

Add '5' to each side of the equation.
-5 + 5 + 4x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 7 + 5
4x = 7 + 5

Combine like terms: 7 + 5 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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