3(x-8)+2(4x+5)=2(x+38)

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Solution for 3(x-8)+2(4x+5)=2(x+38) equation:


Simplifying
3(x + -8) + 2(4x + 5) = 2(x + 38)

Reorder the terms:
3(-8 + x) + 2(4x + 5) = 2(x + 38)
(-8 * 3 + x * 3) + 2(4x + 5) = 2(x + 38)
(-24 + 3x) + 2(4x + 5) = 2(x + 38)

Reorder the terms:
-24 + 3x + 2(5 + 4x) = 2(x + 38)
-24 + 3x + (5 * 2 + 4x * 2) = 2(x + 38)
-24 + 3x + (10 + 8x) = 2(x + 38)

Reorder the terms:
-24 + 10 + 3x + 8x = 2(x + 38)

Combine like terms: -24 + 10 = -14
-14 + 3x + 8x = 2(x + 38)

Combine like terms: 3x + 8x = 11x
-14 + 11x = 2(x + 38)

Reorder the terms:
-14 + 11x = 2(38 + x)
-14 + 11x = (38 * 2 + x * 2)
-14 + 11x = (76 + 2x)

Solving
-14 + 11x = 76 + 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.
-14 + 11x + -2x = 76 + 2x + -2x

Combine like terms: 11x + -2x = 9x
-14 + 9x = 76 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 9x = 76 + 0
-14 + 9x = 76

Add '14' to each side of the equation.
-14 + 14 + 9x = 76 + 14

Combine like terms: -14 + 14 = 0
0 + 9x = 76 + 14
9x = 76 + 14

Combine like terms: 76 + 14 = 90
9x = 90

Divide each side by '9'.
x = 10

Simplifying
x = 10

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