Question

solve for x. 4(-x + 2) + 5x + 2 = 9 answer attempt 1 out of 2 x = |

Explanation:

Step1: Expand the left - hand side

First, we expand the term \(4(-x + 2)\) using the distributive property \(a(b + c)=ab+ac\). Here \(a = 4\), \(b=-x\) and \(c = 2\), so \(4(-x+2)=4\times(-x)+4\times2=-4x + 8\).
The original equation \(4(-x + 2)+5x+2 = 9\) becomes \(-4x+8 + 5x+2=9\).

Step2: Combine like terms

Combine the \(x\) - terms and the constant terms on the left - hand side. The \(x\) - terms are \(-4x\) and \(5x\), so \(-4x + 5x=x\). The constant terms are \(8\) and \(2\), so \(8 + 2 = 10\).
The equation now is \(x+10 = 9\).

Step3: Solve for \(x\)

Subtract \(10\) from both sides of the equation \(x + 10=9\). Using the subtraction property of equality (if \(a=b\), then \(a - c=b - c\)), we have \(x+10-10=9 - 10\).
Simplifying both sides, we get \(x=-1\).

Answer:

\(-1\)