ughiwishlolo
Answered

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Use the follow step as a guide to solve the following equation.

3x - 4 = 2(5x + 5)

Use The Follow Step As A Guide To Solve The Following Equation 3x 4 25x 5 class=

Sagot :

lokisloki
3x - 4 = 2(5x+5)
3x - 4 = 10x + 10
3x -4 - 10x + 4 = 10x - 10x + 10 +4
-7x = 14 -> divide both sides by -7
x = -2
akposevictor

The value of x in the algebraic equation is -2.

Using the steps given, we can solve the equation [tex]3x - 4 = 2(5x + 5)[/tex] as follows:

Step 1: Distributive Property

[tex]3x - 4 = 2(5x + 5)\\3x - 4 = 2 \times 5x + 2\times5\\3x - 4 = 10x + 10[/tex]

Step 2: Move variable [tex]x[/tex] to the left side of the equation

[tex]3x - 4 -10x = 10x + 10 - 10x\\-7x-4 = 10[/tex] (Subtraction property of equality)

Step 3: Move the constant to the right side of the equation

[tex]-7x - 4 + 4 = 10 + 4\\-7x = 14[/tex] (addition property of equality)

Step 4: Isolate variable [tex]x[/tex]

[tex]\frac{-7x}{-7} = \frac{14}{-7} \\x = -2[/tex](division property of equality)

Therefore the value of x in the algebraic equation is -2.

Learn more about algebraic equations here:

https://brainly.com/question/8555125

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