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

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


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

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

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

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

Solving
1 + -2x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1 + -2x + -4x = 12 + 4x + -4x

Combine like terms: -2x + -4x = -6x
1 + -6x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -6x = 12 + 0
1 + -6x = 12

Add '-1' to each side of the equation.
1 + -1 + -6x = 12 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 12 + -1
-6x = 12 + -1

Combine like terms: 12 + -1 = 11
-6x = 11

Divide each side by '-6'.
x = -1.833333333

Simplifying
x = -1.833333333

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