45x+10=5x-2

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Solution for 45x+10=5x-2 equation:


Simplifying
45x + 10 = 5x + -2

Reorder the terms:
10 + 45x = 5x + -2

Reorder the terms:
10 + 45x = -2 + 5x

Solving
10 + 45x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 45x + -5x = -2 + 5x + -5x

Combine like terms: 45x + -5x = 40x
10 + 40x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + 40x = -2 + 0
10 + 40x = -2

Add '-10' to each side of the equation.
10 + -10 + 40x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 40x = -2 + -10
40x = -2 + -10

Combine like terms: -2 + -10 = -12
40x = -12

Divide each side by '40'.
x = -0.3

Simplifying
x = -0.3

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