4[x+3(x-2)]=6

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Solution for 4[x+3(x-2)]=6 equation:


Simplifying
4[x + 3(x + -2)] = 6

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

Reorder the terms:
4[-6 + x + 3x] = 6

Combine like terms: x + 3x = 4x
4[-6 + 4x] = 6
[-6 * 4 + 4x * 4] = 6
[-24 + 16x] = 6

Solving
-24 + 16x = 6

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 16x = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 16x = 6 + 24
16x = 6 + 24

Combine like terms: 6 + 24 = 30
16x = 30

Divide each side by '16'.
x = 1.875

Simplifying
x = 1.875

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