6-3(x+4)=5-2(3x+1)

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Solution for 6-3(x+4)=5-2(3x+1) equation:


Simplifying
6 + -3(x + 4) = 5 + -2(3x + 1)

Reorder the terms:
6 + -3(4 + x) = 5 + -2(3x + 1)
6 + (4 * -3 + x * -3) = 5 + -2(3x + 1)
6 + (-12 + -3x) = 5 + -2(3x + 1)

Combine like terms: 6 + -12 = -6
-6 + -3x = 5 + -2(3x + 1)

Reorder the terms:
-6 + -3x = 5 + -2(1 + 3x)
-6 + -3x = 5 + (1 * -2 + 3x * -2)
-6 + -3x = 5 + (-2 + -6x)

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

Divide each side by '3'.
x = 3

Simplifying
x = 3

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