40x+45=30x+65

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Solution for 40x+45=30x+65 equation:


Simplifying
40x + 45 = 30x + 65

Reorder the terms:
45 + 40x = 30x + 65

Reorder the terms:
45 + 40x = 65 + 30x

Solving
45 + 40x = 65 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
45 + 40x + -30x = 65 + 30x + -30x

Combine like terms: 40x + -30x = 10x
45 + 10x = 65 + 30x + -30x

Combine like terms: 30x + -30x = 0
45 + 10x = 65 + 0
45 + 10x = 65

Add '-45' to each side of the equation.
45 + -45 + 10x = 65 + -45

Combine like terms: 45 + -45 = 0
0 + 10x = 65 + -45
10x = 65 + -45

Combine like terms: 65 + -45 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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