5(5x+2)-3(2x-4)=45

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Solution for 5(5x+2)-3(2x-4)=45 equation:


Simplifying
5(5x + 2) + -3(2x + -4) = 45

Reorder the terms:
5(2 + 5x) + -3(2x + -4) = 45
(2 * 5 + 5x * 5) + -3(2x + -4) = 45
(10 + 25x) + -3(2x + -4) = 45

Reorder the terms:
10 + 25x + -3(-4 + 2x) = 45
10 + 25x + (-4 * -3 + 2x * -3) = 45
10 + 25x + (12 + -6x) = 45

Reorder the terms:
10 + 12 + 25x + -6x = 45

Combine like terms: 10 + 12 = 22
22 + 25x + -6x = 45

Combine like terms: 25x + -6x = 19x
22 + 19x = 45

Solving
22 + 19x = 45

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 19x = 45 + -22

Combine like terms: 22 + -22 = 0
0 + 19x = 45 + -22
19x = 45 + -22

Combine like terms: 45 + -22 = 23
19x = 23

Divide each side by '19'.
x = 1.210526316

Simplifying
x = 1.210526316

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