1) -1.4(x-6) = 7(4x + 1.2)
First, distribute the -1.4 on the left side:
-1.4x + 8.4 = 28x + 8.4
Next, move all the x terms to one side and the constant terms to the other side:
-1.4x - 28x = -8.4 + 8.4
-29.4x = 0
Finally, solve for x:
x = 0
2) 2.6(0.4-1.4) = 3.9(1.2x - 0.9)
First, simplify inside the parentheses:
2.6(-1) = 3.9(1.2x - 0.9)
-2.6 = 4.68x - 3.51
4.68x = -2.6 + 3.51
4.68x = 0.91
x ≈ 0.194
Therefore, the solutions for the given equations are:
1) x = 02) x ≈ 0.194
1) -1.4(x-6) = 7(4x + 1.2)
First, distribute the -1.4 on the left side:
-1.4x + 8.4 = 28x + 8.4
Next, move all the x terms to one side and the constant terms to the other side:
-1.4x - 28x = -8.4 + 8.4
-29.4x = 0
Finally, solve for x:
x = 0
2) 2.6(0.4-1.4) = 3.9(1.2x - 0.9)
First, simplify inside the parentheses:
2.6(-1) = 3.9(1.2x - 0.9)
-2.6 = 4.68x - 3.51
Next, move all the x terms to one side and the constant terms to the other side:
4.68x = -2.6 + 3.51
4.68x = 0.91
Finally, solve for x:
x ≈ 0.194
Therefore, the solutions for the given equations are:
1) x = 0
2) x ≈ 0.194