2x+45=4(5x+2)+1

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Solution for 2x+45=4(5x+2)+1 equation:


Simplifying
2x + 45 = 4(5x + 2) + 1

Reorder the terms:
45 + 2x = 4(5x + 2) + 1

Reorder the terms:
45 + 2x = 4(2 + 5x) + 1
45 + 2x = (2 * 4 + 5x * 4) + 1
45 + 2x = (8 + 20x) + 1

Reorder the terms:
45 + 2x = 8 + 1 + 20x

Combine like terms: 8 + 1 = 9
45 + 2x = 9 + 20x

Solving
45 + 2x = 9 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
45 + 2x + -20x = 9 + 20x + -20x

Combine like terms: 2x + -20x = -18x
45 + -18x = 9 + 20x + -20x

Combine like terms: 20x + -20x = 0
45 + -18x = 9 + 0
45 + -18x = 9

Add '-45' to each side of the equation.
45 + -45 + -18x = 9 + -45

Combine like terms: 45 + -45 = 0
0 + -18x = 9 + -45
-18x = 9 + -45

Combine like terms: 9 + -45 = -36
-18x = -36

Divide each side by '-18'.
x = 2

Simplifying
x = 2

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