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

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


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

Reorder the terms:
3 + 4(2 + x) = 3x + 3(x + -3)
3 + (2 * 4 + x * 4) = 3x + 3(x + -3)
3 + (8 + 4x) = 3x + 3(x + -3)

Combine like terms: 3 + 8 = 11
11 + 4x = 3x + 3(x + -3)

Reorder the terms:
11 + 4x = 3x + 3(-3 + x)
11 + 4x = 3x + (-3 * 3 + x * 3)
11 + 4x = 3x + (-9 + 3x)

Reorder the terms:
11 + 4x = -9 + 3x + 3x

Combine like terms: 3x + 3x = 6x
11 + 4x = -9 + 6x

Solving
11 + 4x = -9 + 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.
11 + 4x + -6x = -9 + 6x + -6x

Combine like terms: 4x + -6x = -2x
11 + -2x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -2x = -9 + 0
11 + -2x = -9

Add '-11' to each side of the equation.
11 + -11 + -2x = -9 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -9 + -11
-2x = -9 + -11

Combine like terms: -9 + -11 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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