Solve 7(2-x-4x)-5x+5=12(x+1/6)-2x+4

$$7 ( 2 - x - 4 x ) - 5 x + 5 = 12 ( x + \frac { 1 } { 6 } ) - 2 x + 4$$

Solve for x

$$x=\frac{13}{50}=0.26$$

Steps for Solving Linear Equation

Combine -x and -4x to get -5x.

$$7\left(2-5x\right)-5x+5=12\left(x+\frac{1}{6}\right)-2x+4$$

Use the distributive property to multiply 7 by 2-5x.

$$14-35x-5x+5=12\left(x+\frac{1}{6}\right)-2x+4$$

Combine -35x and -5x to get -40x.

$$14-40x+5=12\left(x+\frac{1}{6}\right)-2x+4$$

Add 14 and 5 to get 19.

$$19-40x=12\left(x+\frac{1}{6}\right)-2x+4$$

Use the distributive property to multiply 12 by x+\frac{1}{6}.

$$19-40x=12x+12\times \frac{1}{6}-2x+4$$

Multiply 12 and \frac{1}{6} to get \frac{12}{6}.

$$19-40x=12x+\frac{12}{6}-2x+4$$

Divide 12 by 6 to get 2.

$$19-40x=12x+2-2x+4$$

Combine 12x and -2x to get 10x.

$$19-40x=10x+2+4$$

Add 2 and 4 to get 6.

$$19-40x=10x+6$$

Subtract 10x from both sides.

$$19-40x-10x=6$$

Combine -40x and -10x to get -50x.

$$19-50x=6$$

Subtract 19 from both sides.

$$-50x=6-19$$

Subtract 19 from 6 to get -13.

$$-50x=-13$$

Divide both sides by -50.

$$x=\frac{-13}{-50}$$

Fraction \frac{-13}{-50} can be simplified to \frac{13}{50} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{13}{50}$$