3(3x-50)=4(x-10)+15

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Solution for 3(3x-50)=4(x-10)+15 equation: 


Simplifying
3(3x + -50) = 4(x + -10) + 15

Reorder the terms:
3(-50 + 3x) = 4(x + -10) + 15
(-50 * 3 + 3x * 3) = 4(x + -10) + 15
(-150 + 9x) = 4(x + -10) + 15

Reorder the terms:
-150 + 9x = 4(-10 + x) + 15
-150 + 9x = (-10 * 4 + x * 4) + 15
-150 + 9x = (-40 + 4x) + 15

Reorder the terms:
-150 + 9x = -40 + 15 + 4x

Combine like terms: -40 + 15 = -25
-150 + 9x = -25 + 4x

Solving
-150 + 9x = -25 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-150 + 9x + -4x = -25 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-150 + 5x = -25 + 4x + -4x

Combine like terms: 4x + -4x = 0
-150 + 5x = -25 + 0
-150 + 5x = -25

Add '150' to each side of the equation.
-150 + 150 + 5x = -25 + 150

Combine like terms: -150 + 150 = 0
0 + 5x = -25 + 150
5x = -25 + 150

Combine like terms: -25 + 150 = 125
5x = 125

Divide each side by '5'.
x = 25

Simplifying
x = 25

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