Question

3(x-3)=5(2x+1)find x

Answer 1

Simplifying 3(x + -3) = 5(2x + 1)
Reorder the terms: 3(-3 + x) = 5(2x + 1) (-3 * 3 + x * 3) = 5(2x + 1) (-9 + 3x) = 5(2x + 1) Reorder the terms: -9 + 3x = 5(1 + 2x) -9 + 3x = (1 * 5 + 2x * 5) -9 + 3x = (5 + 10x) Solving -9 + 3x = 5 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -9 + 3x + -10x = 5 + 10x + -10x
Combine like terms: 3x + -10x = -7x -9 + -7x = 5 + 10x + -10x
Combine like terms: 10x + -10x = 0 -9 + -7x = 5 + 0 -9 + -7x = 5
Add '9' to each side of the equation. -9 + 9 + -7x = 5 + 9
Combine like terms: -9 + 9 = 0 0 + -7x = 5 + 9 -7x = 5 + 9
Combine like terms: 5 + 9 = 14 -7x = 14
Divide each side by '-7'. x = -2
Simplifying x = -2
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Answer 2

3(x-3)=5(2x+1)
3x-9=10x+5
3x-10x=5+9
7x=14
x=14/7
x=2

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