Answer:
Solving the linear equation [tex]3(-4x + 5) = 12[/tex] we get [tex]\mathbf{x=\frac{1}{4}}[/tex]
Step-by-step explanation:
We need to solve to find the value for x in the linear equation: [tex]3(-4x + 5) = 12[/tex]
1. Use the distributive property:
Multiply 3 with terms inside the bracket
[tex]3(-4x + 5) = 12\\3(-4x)+3(5)=12\\-12x+15=12[/tex]
2. Use the subtraction property of equality:
Subtracting 15 on both sides
[tex]-12x+15-15=12-15\\-12x=-3[/tex]
3. Division property of equality:
Divide both sides by -12
[tex]\frac{-12x}{-12}=\frac{-3}{-12}[/tex]
[tex]x=\frac{1}{4}[/tex]
So, solving the linear equation [tex]3(-4x + 5) = 12[/tex] we get [tex]\mathbf{x=\frac{1}{4}}[/tex]
