Question

0.2+3(4x+0.5)=0.6+7x

Answer 1

0.2+12х+1.5=4.2х
12х-4.2x=-1.5-0.2
7.8х=-1.7
x=7.8:(-1.7)
х=4.588

Answer 2

To solve the equation 0.2 + 3(4x + 0.5) = 0.6 + 7x, we'll follow a step-by-step approach:

Step 1: Distribute the 3 to the terms inside the parentheses: 0.2 + 3 * 4x + 3 * 0.5 = 0.6 + 7x

Simplifying this expression, we get: 0.2 + 12x + 1.5 = 0.6 + 7x

Step 2: Combine like terms on both sides of the equation: 12x + 1.7 = 0.6 + 7x

Step 3: Move all the terms containing x to one side of the equation by subtracting 7x from both sides: 12x - 7x + 1.7 = 0.6

Simplifying this expression, we get: 5x + 1.7 = 0.6

Step 4: Move the constant term to the other side of the equation by subtracting 1.7 from both sides: 5x + 1.7 - 1.7 = 0.6 - 1.7

Simplifying this expression, we get: 5x = -1.1

Step 5: Solve for x by dividing both sides of the equation by 5: (5x) / 5 = (-1.1) / 5

Simplifying this expression, we get: x = -0.22

Therefore, the solution to the equation 0.2 + 3(4x + 0.5) = 0.6 + 7x is x = -0.22.