2x-5=10x-45

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


Simplifying
2x + -5 = 10x + -45

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

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

Solving
-5 + 2x = -45 + 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.
-5 + 2x + -10x = -45 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-5 + -8x = -45 + 10x + -10x

Combine like terms: 10x + -10x = 0
-5 + -8x = -45 + 0
-5 + -8x = -45

Add '5' to each side of the equation.
-5 + 5 + -8x = -45 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = -45 + 5
-8x = -45 + 5

Combine like terms: -45 + 5 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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