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

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


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

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

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

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

Solving
1 + -4x = 6 + 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.
1 + -4x + -6x = 6 + 6x + -6x

Combine like terms: -4x + -6x = -10x
1 + -10x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -10x = 6 + 0
1 + -10x = 6

Add '-1' to each side of the equation.
1 + -1 + -10x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + -10x = 6 + -1
-10x = 6 + -1

Combine like terms: 6 + -1 = 5
-10x = 5

Divide each side by '-10'.
x = -0.5

Simplifying
x = -0.5

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