Solve 4.6x-7=4x-(-x+1)+5.3

$$4.6 x - 7 = 4 x - ( - x + 1 ) + 5.3$$

Solve for x

$$x=-28.25$$

Steps for Solving Linear Equation

To find the opposite of -x+1, find the opposite of each term.

$$4.6x-7=4x-\left(-x\right)-1+5.3$$

Add -1 and 5.3 to get 4.3.

$$4.6x-7=4x-\left(-x\right)+4.3$$

Subtract 4x from both sides.

$$4.6x-7-4x=-\left(-x\right)+4.3$$

Combine 4.6x and -4x to get 0.6x.

$$0.6x-7=-\left(-x\right)+4.3$$

Add -x to both sides.

$$0.6x-7-x=4.3$$

Add 7 to both sides.

$$0.6x-x=4.3+7$$

Add 4.3 and 7 to get 11.3.

$$0.6x-x=11.3$$

Combine 0.6x and -x to get -0.4x.

$$-0.4x=11.3$$

Divide both sides by -0.4.

$$x=\frac{11.3}{-0.4}$$

Expand \frac{11.3}{-0.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{113}{-4}$$

Fraction \frac{113}{-4} can be rewritten as -\frac{113}{4} by extracting the negative sign.

$$x=-\frac{113}{4}$$