Solve -6x+4x-10x--7x+4x=12x-6+3+-4+7x

$$-6x+4x-10x--7x+4x=12x-6+3+-4+7x$$

Solve for x

$$x=\frac{7}{20}=0.35$$

Steps for Solving Linear Equation

Combine -6x and 4x to get -2x.

$$-2x-10x-\left(-7x\right)+4x=12x-6+3-4+7x$$

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

$$-12x-\left(-7x\right)+4x=12x-6+3-4+7x$$

The opposite of -7x is 7x.

$$-12x+7x+4x=12x-6+3-4+7x$$

Combine -12x and 7x to get -5x.

$$-5x+4x=12x-6+3-4+7x$$

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

$$-x=12x-6+3-4+7x$$

Add -6 and 3 to get -3.

$$-x=12x-3-4+7x$$

Subtract 4 from -3 to get -7.

$$-x=12x-7+7x$$

Combine 12x and 7x to get 19x.

$$-x=19x-7$$

Subtract 19x from both sides.

$$-x-19x=-7$$

Combine -x and -19x to get -20x.

$$-20x=-7$$

Divide both sides by -20.

$$x=\frac{-7}{-20}$$

Fraction \frac{-7}{-20} can be simplified to \frac{7}{20} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{20}$$