Solve 6*(-9x+4)=4*(1-2x)+3*(6x-4)

$$6 \cdot ( - 9 x + 4 ) = 4 \cdot ( 1 - 2 x ) + 3 \cdot ( 6 x - 4 )$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by -9x+4.

$$-54x+24=4\left(1-2x\right)+3\left(6x-4\right)$$

Use the distributive property to multiply 4 by 1-2x.

$$-54x+24=4-8x+3\left(6x-4\right)$$

Use the distributive property to multiply 3 by 6x-4.

$$-54x+24=4-8x+18x-12$$

Combine -8x and 18x to get 10x.

$$-54x+24=4+10x-12$$

Subtract 12 from 4 to get -8.

$$-54x+24=-8+10x$$

Subtract 10x from both sides.

$$-54x+24-10x=-8$$

Combine -54x and -10x to get -64x.

$$-64x+24=-8$$

Subtract 24 from both sides.

$$-64x=-8-24$$

Subtract 24 from -8 to get -32.

$$-64x=-32$$

Divide both sides by -64.

$$x=\frac{-32}{-64}$$

Reduce the fraction \frac{-32}{-64} to lowest terms by extracting and canceling out -32.

$$x=\frac{1}{2}$$