Answer:
the value of x that makes this equation true is 9
Step-by-step explanation:
2(x - 6) + x + 14 = 4(x - 3) + 5
<em>open the parenthesis</em>
2x - 12 + x + 14 = 4x - 12 + 5
<em>add 12 to both sides of the equation</em>
2x - 12 + 12 + x + 14 = 4x - 12 + 12 + 5
2x + x + 14 = 4x + 5
<em>subtract 5 from both sides of the equation</em>
2x + x + 14 - 5 = 4x + 5 - 5
3x + 14 - 5 = 4x
3x + 9 = 4x
<em>subtract 3x from both sides of the equation</em>
3x - 3x + 9 = 4x - 3x
9 = 4x - 3x
9 = x
check the answer:
2(x - 6) + x + 14 = 4(x - 3) + 5
2(9 - 6) + 9 + 14 = 4(9 - 3) + 5
29 = 29
