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Solve to find the value for x in the linear equation: 3(−4x + 5) = 12.

1. Use the distributive property:



2. Use the subtraction property of equality:

3. Division property of equality:


3(−4x) + 3(5) = 12

−12x + 15 = 12

−12x + 15 − 15 = 12 − 15

−12x = −3


Sagot :

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]

Answer:

x= [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Or the way you will right it in edg is 1/4