Solve 7*(x-2)+3=4*(x+3)+7

$$7 \cdot ( x - 2 ) + 3 = 4 \cdot ( x + 3 ) + 7$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by x-2.

$$7x-14+3=4\left(x+3\right)+7$$

Add -14 and 3 to get -11.

$$7x-11=4\left(x+3\right)+7$$

Use the distributive property to multiply 4 by x+3.

$$7x-11=4x+12+7$$

Add 12 and 7 to get 19.

$$7x-11=4x+19$$

Subtract 4x from both sides.

$$7x-11-4x=19$$

Combine 7x and -4x to get 3x.

$$3x-11=19$$

Add 11 to both sides.

$$3x=19+11$$

Add 19 and 11 to get 30.

$$3x=30$$

Divide both sides by 3.

$$x=\frac{30}{3}$$

Divide 30 by 3 to get 10.

$$x=10$$