Order the steps for solving the equation:
2x - 5 = 3(4x + 5)
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Much ado about nothing by the bot .... (also the bot is wrong)
2x - 5 = 3(4x + 5)
2x - 5 = 12x + 15
-10x = 20
x = -2
1. Distribute the 3 to both terms inside the parentheses.
2x - 5 = 12x + 15
2. Move all terms containing x to one side of the equation and all constant terms to the other side.
2x - 12x = 15 + 5
3. Combine like terms on both sides of the equation.
-10x = 20
4. Divide both sides of the equation by the coefficient of x to solve for x.
x = -2
5. Verify the solution by substituting the value of x back into the original equation.
1. Distribute the 3 to terms inside the parentheses: 2x - 5 = 12x + 15.
2. Combine like terms on both sides of the equation: 2x - 12x = 15 + 5.
3. Simplify the expression by combining like terms: -10x = 20.
4. Divide both sides of the equation by -10 to isolate x: x = -2.
1. Subtract 5 from both sides of the equation.
2. Simplify the right side of the equation.
3. Divide both sides of the equation by 6.
4. Solve for x.