Question

question 2
résous léquation suivante et vérifie ta réponse
$3(2x - 5) - 4(3x + 1) - 7 = 5(x - 4) - 3(x + 2)$

Explanation:

Step1: Expand all brackets

Left side: \(3(2x - 5)-4(3x + 1)-7 = 6x-15 - 12x - 4 - 7\)
Right side: \(5(x - 4)-3(x + 2)=5x-20 - 3x - 6\)

Step2: Simplify both sides

Left side: \(6x-12x-15 - 4 - 7=-6x - 26\)
Right side: \(5x-3x-20 - 6 = 2x - 26\)

Step3: Move all x terms to left and constants to right

\(-6x - 2x=-26 + 26\)

Step4: Combine like terms

\(-8x=0\)

Step5: Solve for x

\(x = 0\)

Step6: Verify the solution

Substitute \(x = 0\) into original equation:
Left side: \(3(2\times0 - 5)-4(3\times0 + 1)-7=3(-5)-4(1)-7=-15 - 4 - 7=-26\)
Right side: \(5(0 - 4)-3(0 + 2)=5(-4)-3(2)=-20 - 6=-26\)
Left side = Right side, so \(x = 0\) is correct.

Answer:

\(x = 0\)