Question

9х-7=6х+14 0,6-1,6(х-4)=3(7-0,4х) 3(х+6)=х+2(9+х)

Answer 1

1. 9х-7=6х+14

9х-6х=14+7

3х=21

х=7

Answer 2

It looks like you've provided three equations. Let's solve each of them step by step:

1. $9x - 7 = 6x + 14$ Subtract $6x$ from both sides: $9x - 6x - 7 = 14$ Simplify: $3x - 7 = 14$ Add 7 to both sides: $3x = 21$ Divide by 3: $x = 7$

2. $0.6 - 1.6(x - 4) = 3(7 - 0.4x)$ Distribute the constants: $0.6 - 1.6x + 6.4 = 21 - 1.2x$ Combine like terms: $7 - 1.6x = 21 - 1.2x$ Subtract $7$ from both sides and add $1.2x$ to both sides: $-0.4x = 14$ Divide by $-0.4$: $x = -35$

3. $3(x + 6) = x + 2(9 + x)$ Distribute the constants: $3x + 18 = x + 18 + 2x$ Combine like terms: $3x + 18 = 3x + 18$ Subtract $3x$ from both sides: $18 = 18$

In the third equation, both sides are equal, which means the equation is an identity and holds true for all values of $x$.

To summarize:

1. $x = 7$
2. $x = -35$
3. The third equation is an identity and holds true for all values of $x$.