2(4x-5)+10x=5(5x-9)+9

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Solution for 2(4x-5)+10x=5(5x-9)+9 equation:


Simplifying
2(4x + -5) + 10x = 5(5x + -9) + 9

Reorder the terms:
2(-5 + 4x) + 10x = 5(5x + -9) + 9
(-5 * 2 + 4x * 2) + 10x = 5(5x + -9) + 9
(-10 + 8x) + 10x = 5(5x + -9) + 9

Combine like terms: 8x + 10x = 18x
-10 + 18x = 5(5x + -9) + 9

Reorder the terms:
-10 + 18x = 5(-9 + 5x) + 9
-10 + 18x = (-9 * 5 + 5x * 5) + 9
-10 + 18x = (-45 + 25x) + 9

Reorder the terms:
-10 + 18x = -45 + 9 + 25x

Combine like terms: -45 + 9 = -36
-10 + 18x = -36 + 25x

Solving
-10 + 18x = -36 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
-10 + 18x + -25x = -36 + 25x + -25x

Combine like terms: 18x + -25x = -7x
-10 + -7x = -36 + 25x + -25x

Combine like terms: 25x + -25x = 0
-10 + -7x = -36 + 0
-10 + -7x = -36

Add '10' to each side of the equation.
-10 + 10 + -7x = -36 + 10

Combine like terms: -10 + 10 = 0
0 + -7x = -36 + 10
-7x = -36 + 10

Combine like terms: -36 + 10 = -26
-7x = -26

Divide each side by '-7'.
x = 3.714285714

Simplifying
x = 3.714285714

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