Solve (-x+1-2x+4x)=(3x(-5)-4(3x)

$$( - x + 1 - 2 x + 4 x ) = ( 3 x ( - 5 ) - 4 ( 3 x )$$

Solve for x

$$x=-\frac{1}{28}\approx -0.035714286$$

Steps for Solving Linear Equation

Combine -2x and 4x to get 2x.

$$-x+1+2x=3x\left(-5\right)-4\times 3x$$

Multiply 3 and -5 to get -15.

$$-x+1+2x=-15x-4\times 3x$$

Multiply 4 and 3 to get 12.

$$-x+1+2x=-15x-12x$$

Combine -15x and -12x to get -27x.

$$-x+1+2x=-27x$$

Add 27x to both sides.

$$-x+1+2x+27x=0$$

Combine 2x and 27x to get 29x.

$$-x+1+29x=0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$-x+29x=-1$$

Combine -x and 29x to get 28x.

$$28x=-1$$

Divide both sides by 28.

$$x=\frac{-1}{28}$$

Fraction \frac{-1}{28} can be rewritten as -\frac{1}{28} by extracting the negative sign.

$$x=-\frac{1}{28}$$