Question

3(5-2z)-4(z+6)=-5(2z+3)

Answer 1

3(5-2z)-4(z+6)=-5(2x+3)
15-6z-4z-24=-10z-15
-10z+10z=-15+9
0*z=-6
z∈∅
Корней нет

Answer 2

To solve the equation, let's simplify and solve for the variable 'z':

Given equation: 3(5 - 2z) - 4(z + 6) = -5(2z + 3)

Step 1: Distribute the values inside the parentheses. 3 * 5 - 3 * 2z - 4 * z - 4 * 6 = -5 * 2z - 5 * 3

Step 2: Simplify both sides of the equation: 15 - 6z - 4z - 24 = -10z - 15

Step 3: Combine like terms on both sides: 15 - 30z - 24 = -10z - 15

Step 4: Combine constants on both sides: -9 - 30z = -10z - 15

Step 5: Move the variable terms to one side and the constant terms to the other side: -30z + 10z = -15 + 9

Step 6: Simplify the equation: -20z = -6

Step 7: Solve for 'z': z = (-6) / (-20) z = 0.3

Therefore, the value of 'z' that satisfies the equation is 0.3.