Question

Solve the equation. $$25-(6 x+5)=4(3 x-5)+4$$

Short answer

The solution to the equation is \( x = 2 \).

Step-by-step solution

Simplify both sides of equation

Expand the brackets on the right side, thus the equation becomes \( 25 - ( 6x + 5) = 12x - 20 + 4 \). Then simplify it to \( 25 - 6x - 5 = 12x - 16 \). Following this, expand on the left side of the equation to get \( 20 - 6x = 12x - 16 \).

Rearrange the equation to isolate \( x \)

Move \( 6x \) to the right, and \( -16 \) to the left to get the simplified form of the equation as \( 20 + 16 = 12x + 6x \). This simplifies further to \( 36 = 18x \).

Solve for \( x \)

Finally, divide by \( 18 \) on both sides to isolate \( x \). This gives \( x = 36 / 18 = 2 \).