Question

solve 5x-2(2x-7)=2 (3x-1)+7/2

Answer 1

5x-4x+14=3x-1+7/2
x-3x=-15+7/2
-2x=-23/2
x=23/4

Answer 2

Solution:

Given:

Solve:- 5x - 2(2x-7) = 2 (3x-1) + 7/2.

Calculations:

LHS = Left hand side.

RHS = Right hand side.

1) The first step is opening the brackets.

LHS = 5x - 4x + 14 = x + 14

RHS = 6x - 2 + 7/2 = 6x - 4/2 + 7/2 = 6x + 3/2

The equation is x + 14 = 6x + 3/2

or → 14 = 6x - x + 3/2

or → 14 = 5x + 3/2

or → 14 = 5x + 3/2

or → 14 - 3/2 = 5x [ Transposing 3/2 ]

or → 28 - 3/2 = 5x

or → 25/2 = 5x

or → x = 25/2 × 1/5 = 5 × 5/2 × 5 = 5/2

→ 5/2 => [ Required solution ]

Verification:

→ LHS = 5 × 5/2 - 2(5/2 × 2 - 7)

→ 25/2 - 2(5 - 7) = 25/2 - 2( - 2) = 25/2 + 4 = 25 + 8/2 = 33/2

→ RHS = 2(5/2 × 3 - 1) + 7/2 = 2 (15/2 - 2/2) + 7/2 = 2 × 13/12 + 7/2

→ 26 + 7/2 = 33/2 = LHS => [ Required answer ]