3(x+3)=8(x+10)

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Solution for 3(x+3)=8(x+10) equation:


Simplifying
3(x + 3) = 8(x + 10)

Reorder the terms:
3(3 + x) = 8(x + 10)
(3 * 3 + x * 3) = 8(x + 10)
(9 + 3x) = 8(x + 10)

Reorder the terms:
9 + 3x = 8(10 + x)
9 + 3x = (10 * 8 + x * 8)
9 + 3x = (80 + 8x)

Solving
9 + 3x = 80 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
9 + 3x + -8x = 80 + 8x + -8x

Combine like terms: 3x + -8x = -5x
9 + -5x = 80 + 8x + -8x

Combine like terms: 8x + -8x = 0
9 + -5x = 80 + 0
9 + -5x = 80

Add '-9' to each side of the equation.
9 + -9 + -5x = 80 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 80 + -9
-5x = 80 + -9

Combine like terms: 80 + -9 = 71
-5x = 71

Divide each side by '-5'.
x = -14.2

Simplifying
x = -14.2

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