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.
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