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Solve for x:
- 4x + 3(5x + 6) = 7(2x + 1) - 3x

User Drebabels
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1 Answer

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Final answer:

To solve the equation -4x + 3(5x + 6) = 7(2x + 1) - 3x, the terms are expanded and simplified, which results in x = -1. Checking the solution confirms that it is correct and reasonable.

Step-by-step explanation:

To solve the equation -4x + 3(5x + 6) = 7(2x + 1) - 3x, we need to expand and simplify it first:

Distribute the 3 across (5x + 6): -4x + 15x + 18.

Distribute the 7 across (2x + 1): 14x + 7.

Combine like terms on each side: 11x + 18 = 14x + 7 - 3x.

Simplify further by adding 4x and subtracting 18 from both sides: 11x - 4x = 7 - 18.

Combine like terms again: 7x = -11.

Divide both sides by 7 to find the value of x: x = -±7/7.

Simplify the fraction: x = -1.

After simplifying the equation, we found that x = -1. We can check this solution by substituting -1 back into the original equation to verify that both sides are equal. This confirms that the solution is reasonable.

User Kchason
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