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

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


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

Reorder the terms:
2(-4 + x) = 3(1 + 4)
(-4 * 2 + x * 2) = 3(1 + 4)
(-8 + 2x) = 3(1 + 4)

Combine like terms: 1 + 4 = 5
-8 + 2x = 3(5)

Multiply 3 * 5
-8 + 2x = 15

Solving
-8 + 2x = 15

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x = 15 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 15 + 8
2x = 15 + 8

Combine like terms: 15 + 8 = 23
2x = 23

Divide each side by '2'.
x = 11.5

Simplifying
x = 11.5

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