Solve. 15x – 2(6x – 0.865) = 2x + 0.365
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To solve the equation 15x – 2(6x – 0.865) = 2x + 0.365, we can follow these steps:
Step 1: Distribute the -2 to the terms inside the parentheses on the left side of the equation.
15x - 12x + 1.73 = 2x + 0.365
Simplifying this, we get:
3x + 1.73 = 2x + 0.365
Step 2: Isolate the terms with x on one side of the equation. In this case, we will subtract 2x from both sides:
3x - 2x + 1.73 = 0.365
Simplifying, we have:
x + 1.73 = 0.365
Step 3: Isolate the x term by subtracting 1.73 from both sides:
x + 1.73 - 1.73 = 0.365 - 1.73
This gives us:
x = -1.365
Therefore, the solution to the equation 15x – 2(6x – 0.865) = 2x + 0.365 is x = -1.365.