Let's solve the equation step by step:
15 - 4(x - 3) = 1 + 3x + 2(x + 4)
Distribute the negative sign to each term inside the parentheses:
15 -4x + 12 = 1 + 3x + 2x + 8
Combine like terms on each side:
27 - 4x = 1 + 5x + 8
Combine like terms on the right side:
27 - 4x = 1 + 5x + 8
27 - 4x = 9 + 5x
Move all the x terms to one side and the constants to the other side:
-4x - 5x = 9 - 27
-9x = -18
Divide both sides by -9 to solve for x:
x = -18 / -9
x = 2
Therefore, the solution to the equation is x = 2.
15-4(x-3)=1+3x+2(x+4)
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