Solve for x. 3(x + 2) + 4(x - 5) = 10

1 answer:

5 0

3 (x + 2) + 4(x - 5) = 10

Simplify.

3x + 6 + 4x - 20 = 10

Add like terms.

(3x+4x) + (6-20) = 10

Simplify.

7x - 14 = 10

Add 14 to both sides of the equation.

7x = 24

Divide both sides by 7 so that X is by itself.

x = 24/7, or 3 3/7

~Hope I helped!~

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$\begin{array}{rcl}\frac{1}{4}x^{2} & = & (x - 3)^{2}\\x^{2} & = & 4(x - 3)^{2}\\& = & 4(x^{2} - 6x + 9)\\x^{2}& = & 4x^{2} - 24x + 36\\3x^{2} - 24x + 36 & = & 0\\x^{2} - 8x + 12 & = & 0\\(x - 2)(x - 6) & = & 0\\x - 2 = 0& \qquad &x - 6 = 0\\x = 2& \qquad &x = 6\\\end{array}$