Solve 43x-12/3+8x+5/10=x-16/18+15x-3

$$\frac { 43 x - 12 } { 3 } + \frac { 8 x + 5 } { 10 } = \frac { x - 16 } { 18 } + 15 x - 3$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 90, the least common multiple of 3,10,18.

$$30\left(43x-12\right)+9\left(8x+5\right)=5\left(x-16\right)+1350x-270$$

Use the distributive property to multiply 30 by 43x-12.

$$1290x-360+9\left(8x+5\right)=5\left(x-16\right)+1350x-270$$

Use the distributive property to multiply 9 by 8x+5.

$$1290x-360+72x+45=5\left(x-16\right)+1350x-270$$

Combine 1290x and 72x to get 1362x.

$$1362x-360+45=5\left(x-16\right)+1350x-270$$

Add -360 and 45 to get -315.

$$1362x-315=5\left(x-16\right)+1350x-270$$

Use the distributive property to multiply 5 by x-16.

$$1362x-315=5x-80+1350x-270$$

Combine 5x and 1350x to get 1355x.

$$1362x-315=1355x-80-270$$

Subtract 270 from -80 to get -350.

$$1362x-315=1355x-350$$

Subtract 1355x from both sides.

$$1362x-315-1355x=-350$$

Combine 1362x and -1355x to get 7x.

$$7x-315=-350$$

Add 315 to both sides.

$$7x=-350+315$$

Add -350 and 315 to get -35.

$$7x=-35$$

Divide both sides by 7.

$$x=\frac{-35}{7}$$

Divide -35 by 7 to get -5.

$$x=-5$$