Solve -2[2(2x-1)-3]=-2(6x+7)-2(-3x-3)-7

$$- 2 [ 2 ( 2 x - 1 ) - 3 ] = - 2 ( 6 x + 7 ) - 2 ( - 3 x - 3 ) - 7$$

Solve for x

$$x = \frac{25}{2} = 12\frac{1}{2} = 12.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 2x-1.

$$-2\left(4x-2-3\right)=-2\left(6x+7\right)-2\left(-3x-3\right)-7$$

Subtract 3 from -2 to get -5.

$$-2\left(4x-5\right)=-2\left(6x+7\right)-2\left(-3x-3\right)-7$$

Use the distributive property to multiply -2 by 4x-5.

$$-8x+10=-2\left(6x+7\right)-2\left(-3x-3\right)-7$$

Use the distributive property to multiply -2 by 6x+7.

$$-8x+10=-12x-14-2\left(-3x-3\right)-7$$

Use the distributive property to multiply -2 by -3x-3.

$$-8x+10=-12x-14+6x+6-7$$

Combine -12x and 6x to get -6x.

$$-8x+10=-6x-14+6-7$$

Add -14 and 6 to get -8.

$$-8x+10=-6x-8-7$$

Subtract 7 from -8 to get -15.

$$-8x+10=-6x-15$$

Add 6x to both sides.

$$-8x+10+6x=-15$$

Combine -8x and 6x to get -2x.

$$-2x+10=-15$$

Subtract 10 from both sides.

$$-2x=-15-10$$

Subtract 10 from -15 to get -25.

$$-2x=-25$$

Divide both sides by -2.

$$x=\frac{-25}{-2}$$

Fraction \frac{-25}{-2} can be simplified to \frac{25}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{25}{2}$$