3x+45=2x+51

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Solution for 3x+45=2x+51 equation:


Simplifying
3x + 45 = 2x + 51

Reorder the terms:
45 + 3x = 2x + 51

Reorder the terms:
45 + 3x = 51 + 2x

Solving
45 + 3x = 51 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
45 + 3x + -2x = 51 + 2x + -2x

Combine like terms: 3x + -2x = 1x
45 + 1x = 51 + 2x + -2x

Combine like terms: 2x + -2x = 0
45 + 1x = 51 + 0
45 + 1x = 51

Add '-45' to each side of the equation.
45 + -45 + 1x = 51 + -45

Combine like terms: 45 + -45 = 0
0 + 1x = 51 + -45
1x = 51 + -45

Combine like terms: 51 + -45 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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