-4 +bx = 2x+3(x+ 1) In the equation shown, b is a constant. For what value of b does the equation have no solutions?

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Identify Structure and Condition: Identify the structure of the given equation and the condition for no solutions. The equation is in the form of a linear equation, and for it to have no solutions, the coefficients of x on both sides must be equal, and the constants must be different. This is because if the lines represented by both sides of the equation have the same slope but different y-intercepts, they are parallel and will never intersect.Expand and Simplify: Expand the right side of the equation to simplify it. 2x + 3(x + 1) = 2x + 3x + 3 Combine like terms. 2x + 3x + 3 = 5x + 3Combine Like Terms: Set up the equation to compare the coefficients of x on both sides. For the equation to have no solutions, the coefficient of x on the left side (which is b) must be equal to the coefficient of x on the right side (which is 5). So, b must be equal to 5.Set Up Equation for Coefficients: Check if the constants on both sides are different when b is 5. On the left side, the constant is -4, and on the right side, the constant is 3. Since -4 is not equal to 3, the condition for no solutions is satisfied when b = 5.

$-4 + bx = 2x + 3(x + 1)$ In the equation shown, $b$ is a constant. For what value of $b$ does the equation have no solutions?

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−4+bx=2x+3(x+1)-4 + bx = 2x + 3(x + 1)−4+bx=2x+3(x+1) In the equation shown, bbb is a constant. For what value of bbb does the equation have no solutions?

$-4 + bx = 2x + 3(x + 1)$ In the equation shown, $b$ is a constant. For what value of $b$ does the equation have no solutions?