Exercise 235Algebra › Equations and radicalsHigh schoolAdded 3 Nov 2026

A linear equation

#linear equation#solving#basic

Statement

Solve in $\mathbb{R}$ the equation
$3(2x-1)-2(x+4)=5x-7.$

Hint

Expand both sides, gather $x$ terms, and isolate $x$ .

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Expansion.
$3(2x-1)-2(x+4)=6x-3-2x-8=4x-11.$

Equation. $4x-11=5x-7$ .

Solving. $4x-5x=-7+11$ , i.e. $-x=4$ , so $x=-4$ .

Verification. LHS: $3(-9)-2(0)=-27$ ; RHS: $-27$ . Correct.

Conclusion. $x=-4$ .