Solve each equation. 3(x-4)=2(-2x+1)

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Solve each equation.   3(x-4)=2(-2x+1)

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Distribute Numbers: Distribute the numbers outside the parentheses to the terms inside the parentheses. For the left side of the equation, multiply 3 by both x and -4. For the right side of the equation, multiply 2 by both -2x and 1.Perform Distribution: Perform the distribution from Step 1. Left side: 3 * x = 3x and 3 * -4 = -12, so we have 3x - 12. Right side: 2 * -2x = -4x and 2 * 1 = 2, so we have -4x + 2. Now the equation looks like this: 3x - 12 = -4x + 2.Get Terms Together: Get all the x terms on one side and the constant terms on the other side. To do this, add 4x to both sides to move the x terms to the left, and add 12 to both sides to move the constants to the right.Perform Operations: Perform the operations from Step 3. Adding 4x to both sides gives us 3x + 4x - 12 = -4x + 4x + 2, which simplifies to 7x - 12 = 2. Adding 12 to both sides gives us 7x - 12 + 12 = 2 + 12, which simplifies to 7x = 14.Solve for x: Solve for x by dividing both sides of the equation by 7. 7x = 14 x = 14 / 7 x = 2

Solve each equation. $\newline$ $3(x-4)=2(-2x+1)$

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Solve each equation.\newline3(x−4)=2(−2x+1)3(x-4)=2(-2x+1)3(x−4)=2(−2x+1)

Solve each equation. $\newline$ $3(x-4)=2(-2x+1)$