Question

1) 0,12+0,76x=0,66(x+1). 2) 0,005(x+2)=0,007x+0,01(x-5).

Answer 1

1) 0,12+0,76х=0,66(х+1)
0,12+0,76х=0,66х+0,66
0,76х-0,66х=0,66-0,12
0,1х=0,54
х=0,54/0,1
х=5,4

2)0,005(х+2)=0,007х+0,01(х-5)
0,005х+0,01=0,007х+0,01х-0,05
0,005х-0,007х-0,01х=-0,05-0,01
-0,012х=-0,06
х=-0,06/(-0,012)
х=5

Answer 2

Let's solve each equation step by step:

1. 0.12 + 0.76x = 0.66(x + 1)

First, distribute 0.66 to the terms inside the parentheses: 0.12 + 0.76x = 0.66x + 0.66

Next, simplify the equation by combining like terms: 0.76x - 0.66x = 0.66 - 0.12

0.1x = 0.54

To isolate x, divide both sides of the equation by 0.1: x = 0.54 / 0.1

x = 5.4

Therefore, the solution to the equation is x = 5.4.

2. 0.005(x + 2) = 0.007x + 0.01(x - 5)

First, distribute 0.005 to the terms inside the parentheses: 0.005x + 0.01 = 0.007x + 0.01x - 0.05

Next, combine like terms: 0.005x + 0.01 = 0.017x - 0.05

Subtract 0.005x from both sides: 0.01 = 0.017x - 0.005x - 0.05

Combine like terms again: 0.01 = 0.012x - 0.05

Add 0.05 to both sides: 0.01 + 0.05 = 0.012x - 0.05 + 0.05

0.06 = 0.012x

To isolate x, divide both sides of the equation by 0.012: x = 0.06 / 0.012

x = 5

Therefore, the solution to the equation is x = 5.