Solve -(4x-6+5x)+(9-5x+3-2x)=7x-(1-6x)

$$- ( 4 x - 6 + 5 x ) + ( 9 - 5 x + 3 - 2 x ) = 7 x - ( 1 - 6 x )$$

Solve for x

$$x=\frac{19}{29}\approx 0.655172414$$

Steps for Solving Linear Equation

Combine 4x and 5x to get 9x.

$$-\left(9x-6\right)+9-5x+3-2x=7x-\left(1-6x\right)$$

To find the opposite of 9x-6, find the opposite of each term.

$$-9x-\left(-6\right)+9-5x+3-2x=7x-\left(1-6x\right)$$

The opposite of -6 is 6.

$$-9x+6+9-5x+3-2x=7x-\left(1-6x\right)$$

Add 6 and 9 to get 15.

$$-9x+15-5x+3-2x=7x-\left(1-6x\right)$$

Combine -9x and -5x to get -14x.

$$-14x+15+3-2x=7x-\left(1-6x\right)$$

Add 15 and 3 to get 18.

$$-14x+18-2x=7x-\left(1-6x\right)$$

Combine -14x and -2x to get -16x.

$$-16x+18=7x-\left(1-6x\right)$$

To find the opposite of 1-6x, find the opposite of each term.

$$-16x+18=7x-1-\left(-6x\right)$$

The opposite of -6x is 6x.

$$-16x+18=7x-1+6x$$

Combine 7x and 6x to get 13x.

$$-16x+18=13x-1$$

Subtract 13x from both sides.

$$-16x+18-13x=-1$$

Combine -16x and -13x to get -29x.

$$-29x+18=-1$$

Subtract 18 from both sides.

$$-29x=-1-18$$

Subtract 18 from -1 to get -19.

$$-29x=-19$$

Divide both sides by -29.

$$x=\frac{-19}{-29}$$

Fraction \frac{-19}{-29} can be simplified to \frac{19}{29} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{19}{29}$$