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3 years ago

3(x-2) < 2(x+9) 1. x<12 2.x>12 3. x<24 4.x>24

Mathematics

1 answer:

Nataly_w [17]3 years ago

7 0

Answer:

3rd option x<24

Step-by-step explanation:

3×(x-2)<2×(x+9)

3 times everything in the bracket and 2 times everything in the bracket.

3x(-2x)-6<2x(-2x)+18 take away 2x from both sides

( Opposite operators EG, Add becomes subtract)

x-6(+6)<18(+6) add 6 on both sides

x<24

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3 years ago

16 - 3x = 4 + x <br> solve please

likoan [24]

Answer:

x = 3

Step-by-step explanation:

Solution for 16-3x=4+x equation:

Simplifying

16 + -3x = 4 + x

Solving

16 + -3x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.

16 + -3x + -1x = 4 + x + -1x

Combine like terms: -3x + -1x = -4x

16 + -4x = 4 + x + -1x

Combine like terms: x + -1x = 0

16 + -4x = 4 + 0

16 + -4x = 4

Add '-16' to each side of the equation.

16 + -16 + -4x = 4 + -16

Combine like terms: 16 + -16 = 0

0 + -4x = 4 + -16

-4x = 4 + -16

Combine like terms: 4 + -16 = -12

-4x = -12

Divide each side by '-4'.

x = 3

Simplifying

x = 3Solution for 16-3x=4+x equation:

Simplifying

16 + -3x = 4 + x

Solving

16 + -3x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.

16 + -3x + -1x = 4 + x + -1x

Combine like terms: -3x + -1x = -4x

16 + -4x = 4 + x + -1x

Combine like terms: x + -1x = 0

16 + -4x = 4 + 0

16 + -4x = 4

Add '-16' to each side of the equation.

16 + -16 + -4x = 4 + -16

Combine like terms: 16 + -16 = 0

0 + -4x = 4 + -16

-4x = 4 + -16

Combine like terms: 4 + -16 = -12

-4x = -12

Divide each side by '-4'.

x = 3

Simplifying

x = 3Solution for 16-3x=4+x equation:

Simplifying

16 + -3x = 4 + x

Solving

16 + -3x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.

16 + -3x + -1x = 4 + x + -1x

Combine like terms: -3x + -1x = -4x

16 + -4x = 4 + x + -1x

Combine like terms: x + -1x = 0

16 + -4x = 4 + 0

16 + -4x = 4

Add '-16' to each side of the equation.

16 + -16 + -4x = 4 + -16

Combine like terms: 16 + -16 = 0

0 + -4x = 4 + -16

-4x = 4 + -16

Combine like terms: 4 + -16 = -12

-4x = -12

Divide each side by '-4'.

x = 3

Simplifying

x = 3

6 0

3 years ago