First think of two numbers that have a difference of 8

10 and 2 have a difference of 8. Difference means subtract. When you subtract 10 and 2 you get 8. 10-2=8 There are many more examples also.

Simplifying
7x + 34 = 10x + -23

Reorder the terms:
34 + 7x = 10x + -23

Reorder the terms:
34 + 7x = -23 + 10x

Solving
34 + 7x = -23 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
34 + 7x + -10x = -23 + 10x + -10x

Combine like terms: 7x + -10x = -3x
34 + -3x = -23 + 10x + -10x

Combine like terms: 10x + -10x = 0
34 + -3x = -23 + 0
34 + -3x = -23

Add '-34' to each side of the equation.
34 + -34 + -3x = -23 + -34

Combine like terms: 34 + -34 = 0
0 + -3x = -23 + -34
-3x = -23 + -34

Combine like terms: -23 + -34 = -57
-3x = -57

Divide each side by '-3'.
x = 19

Simplifying
x = 19