### 5(-3x-2)-(x-3)=4(4x+5)+13

This encounters linear equations v one unknown.

You are watching: 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

## Step by action Solution ### Rearrange:

Rearrange the equation by subtracting what is come the appropriate of the equal sign from both political parties of the equation : 5*(-3*x-2)-(x-3)-(4*(4*x+5)+13)=0

## Step 1 :

Equation in ~ the end of step 1 :

((5•(-3x-2))-(x-3))-(4•(4x+5)+13) = 0

## Step 3 :

Pulling out like terms :3.1 pull out favor factors:-3x - 2=-1•(3x + 2)

Equation at the finish of action 3 :

(-5 • (3x + 2) - (x - 3)) - (16x + 33) = 0

## Step 5 :

Pulling out favor terms :5.1 traction out choose factors:-32x - 40=-8•(4x + 5)

Equation at the end of step 5 :

-8 • (4x + 5) = 0

## Step 6 :

Equations i beg your pardon are never ever true:6.1Solve:-8=0This equation has actually no solution. A a non-zero consistent never equates to zero.

Solving a single Variable Equation:6.2Solve:4x+5 = 0Subtract 5 indigenous both sides of the equation:4x = -5 division both political parties of the equation through 4:x = -5/4 = -1.250

## One systems was discovered :

x = -5/4 = -1.250

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