4(9x-5)=10(3x+17)-40

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Solution for 4(9x-5)=10(3x+17)-40 equation:


Simplifying
4(9x + -5) = 10(3x + 17) + -40

Reorder the terms:
4(-5 + 9x) = 10(3x + 17) + -40
(-5 * 4 + 9x * 4) = 10(3x + 17) + -40
(-20 + 36x) = 10(3x + 17) + -40

Reorder the terms:
-20 + 36x = 10(17 + 3x) + -40
-20 + 36x = (17 * 10 + 3x * 10) + -40
-20 + 36x = (170 + 30x) + -40

Reorder the terms:
-20 + 36x = 170 + -40 + 30x

Combine like terms: 170 + -40 = 130
-20 + 36x = 130 + 30x

Solving
-20 + 36x = 130 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-20 + 36x + -30x = 130 + 30x + -30x

Combine like terms: 36x + -30x = 6x
-20 + 6x = 130 + 30x + -30x

Combine like terms: 30x + -30x = 0
-20 + 6x = 130 + 0
-20 + 6x = 130

Add '20' to each side of the equation.
-20 + 20 + 6x = 130 + 20

Combine like terms: -20 + 20 = 0
0 + 6x = 130 + 20
6x = 130 + 20

Combine like terms: 130 + 20 = 150
6x = 150

Divide each side by '6'.
x = 25

Simplifying
x = 25

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