Expanding the bracket:
5x − 2(x − 5) = 4x 5x − 2x + 10 = 4x 3x + 10 = 4x
5x − 2(x − 5) = 4x
5x − 2x + 10 = 4x
3x + 10 = 4x
Subtracting 3x from both sides and swapping sides gives:
x = 10
CHECK:
LHS = 5 × 10 − 2(10 − 5) = 50 − 10 = 40 RHS = 4 × 10 = 40 = LHS.
LHS = 5 × 10 − 2(10 − 5) = 50 − 10 = 40
RHS = 4 × 10 = 40 = LHS.
Checks OK.