3[4-x]-5x=2[x+1]

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Solution for 3[4-x]-5x=2[x+1] equation:


Simplifying
3[4 + -1x] + -5x = 2[x + 1]
[4 * 3 + -1x * 3] + -5x = 2[x + 1]
[12 + -3x] + -5x = 2[x + 1]

Combine like terms: -3x + -5x = -8x
12 + -8x = 2[x + 1]

Reorder the terms:
12 + -8x = 2[1 + x]
12 + -8x = [1 * 2 + x * 2]
12 + -8x = [2 + 2x]

Solving
12 + -8x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + -8x + -2x = 2 + 2x + -2x

Combine like terms: -8x + -2x = -10x
12 + -10x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -10x = 2 + 0
12 + -10x = 2

Add '-12' to each side of the equation.
12 + -12 + -10x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -10x = 2 + -12
-10x = 2 + -12

Combine like terms: 2 + -12 = -10
-10x = -10

Divide each side by '-10'.
x = 1

Simplifying
x = 1

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