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

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


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

Reorder the terms:
2[4(-5 + x)] = 3(x + 1)
2[(-5 * 4 + x * 4)] = 3(x + 1)
2[(-20 + 4x)] = 3(x + 1)
[-20 * 2 + 4x * 2] = 3(x + 1)
[-40 + 8x] = 3(x + 1)

Reorder the terms:
-40 + 8x = 3(1 + x)
-40 + 8x = (1 * 3 + x * 3)
-40 + 8x = (3 + 3x)

Solving
-40 + 8x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-40 + 8x + -3x = 3 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-40 + 5x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-40 + 5x = 3 + 0
-40 + 5x = 3

Add '40' to each side of the equation.
-40 + 40 + 5x = 3 + 40

Combine like terms: -40 + 40 = 0
0 + 5x = 3 + 40
5x = 3 + 40

Combine like terms: 3 + 40 = 43
5x = 43

Divide each side by '5'.
x = 8.6

Simplifying
x = 8.6

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