2(5x-2)=3x+45

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Solution for 2(5x-2)=3x+45 equation:


Simplifying
2(5x + -2) = 3x + 45

Reorder the terms:
2(-2 + 5x) = 3x + 45
(-2 * 2 + 5x * 2) = 3x + 45
(-4 + 10x) = 3x + 45

Reorder the terms:
-4 + 10x = 45 + 3x

Solving
-4 + 10x = 45 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 10x + -3x = 45 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-4 + 7x = 45 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 7x = 45 + 0
-4 + 7x = 45

Add '4' to each side of the equation.
-4 + 4 + 7x = 45 + 4

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

Combine like terms: 45 + 4 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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