-4(3x-5)=3(x-10)-25

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Solution for -4(3x-5)=3(x-10)-25 equation: 


Simplifying
-4(3x + -5) = 3(x + -10) + -25

Reorder the terms:
-4(-5 + 3x) = 3(x + -10) + -25
(-5 * -4 + 3x * -4) = 3(x + -10) + -25
(20 + -12x) = 3(x + -10) + -25

Reorder the terms:
20 + -12x = 3(-10 + x) + -25
20 + -12x = (-10 * 3 + x * 3) + -25
20 + -12x = (-30 + 3x) + -25

Reorder the terms:
20 + -12x = -30 + -25 + 3x

Combine like terms: -30 + -25 = -55
20 + -12x = -55 + 3x

Solving
20 + -12x = -55 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + -12x + -3x = -55 + 3x + -3x

Combine like terms: -12x + -3x = -15x
20 + -15x = -55 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -15x = -55 + 0
20 + -15x = -55

Add '-20' to each side of the equation.
20 + -20 + -15x = -55 + -20

Combine like terms: 20 + -20 = 0
0 + -15x = -55 + -20
-15x = -55 + -20

Combine like terms: -55 + -20 = -75
-15x = -75

Divide each side by '-15'.
x = 5

Simplifying
x = 5

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