3x+45=7x+13

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Solution for 3x+45=7x+13 equation:


Simplifying
3x + 45 = 7x + 13

Reorder the terms:
45 + 3x = 7x + 13

Reorder the terms:
45 + 3x = 13 + 7x

Solving
45 + 3x = 13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
45 + 3x + -7x = 13 + 7x + -7x

Combine like terms: 3x + -7x = -4x
45 + -4x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
45 + -4x = 13 + 0
45 + -4x = 13

Add '-45' to each side of the equation.
45 + -45 + -4x = 13 + -45

Combine like terms: 45 + -45 = 0
0 + -4x = 13 + -45
-4x = 13 + -45

Combine like terms: 13 + -45 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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