Solve 15x+(-6+6)-2-(-x+3)=-(7x+23)-x+(3-2x)

$$15 x + ( - 6 + 6 ) - 2 - ( - x + 3 ) = - ( 7 x + 23 ) - x + ( 3 - 2 x )$$

Solve for x

$$x=-\frac{15}{26}\approx -0.576923077$$

Steps for Solving Linear Equation

Add -6 and 6 to get 0.

$$15x-2-\left(-x+3\right)=-\left(7x+23\right)-x+3-2x$$

To find the opposite of -x+3, find the opposite of each term.

$$15x-2-\left(-x\right)-3=-\left(7x+23\right)-x+3-2x$$

Subtract 3 from -2 to get -5.

$$15x-5-\left(-x\right)=-\left(7x+23\right)-x+3-2x$$

To find the opposite of 7x+23, find the opposite of each term.

$$15x-5-\left(-x\right)=-7x-23-x+3-2x$$

Combine -7x and -x to get -8x.

$$15x-5-\left(-x\right)=-8x-23+3-2x$$

Add -23 and 3 to get -20.

$$15x-5-\left(-x\right)=-8x-20-2x$$

Combine -8x and -2x to get -10x.

$$15x-5-\left(-x\right)=-10x-20$$

Add 10x to both sides.

$$15x-5-\left(-x\right)+10x=-20$$

Combine 15x and 10x to get 25x.

$$25x-5-\left(-x\right)=-20$$

Add 5 to both sides.

$$25x-\left(-x\right)=-20+5$$

Add -20 and 5 to get -15.

$$25x-\left(-x\right)=-15$$

Multiply -1 and -1 to get 1.

$$25x+x=-15$$

Combine 25x and x to get 26x.

$$26x=-15$$

Divide both sides by 26.

$$x=\frac{-15}{26}$$

Fraction \frac{-15}{26} can be rewritten as -\frac{15}{26} by extracting the negative sign.

$$x=-\frac{15}{26}$$