-5(x+2)-35=21x+4(10-12x)-3(15-6x)

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Solution for -5(x+2)-35=21x+4(10-12x)-3(15-6x) equation: 


Simplifying
-5(x + 2) + -35 = 21x + 4(10 + -12x) + -3(15 + -6x)

Reorder the terms:
-5(2 + x) + -35 = 21x + 4(10 + -12x) + -3(15 + -6x)
(2 * -5 + x * -5) + -35 = 21x + 4(10 + -12x) + -3(15 + -6x)
(-10 + -5x) + -35 = 21x + 4(10 + -12x) + -3(15 + -6x)

Reorder the terms:
-10 + -35 + -5x = 21x + 4(10 + -12x) + -3(15 + -6x)

Combine like terms: -10 + -35 = -45
-45 + -5x = 21x + 4(10 + -12x) + -3(15 + -6x)
-45 + -5x = 21x + (10 * 4 + -12x * 4) + -3(15 + -6x)
-45 + -5x = 21x + (40 + -48x) + -3(15 + -6x)
-45 + -5x = 21x + 40 + -48x + (15 * -3 + -6x * -3)
-45 + -5x = 21x + 40 + -48x + (-45 + 18x)

Reorder the terms:
-45 + -5x = 40 + -45 + 21x + -48x + 18x

Combine like terms: 40 + -45 = -5
-45 + -5x = -5 + 21x + -48x + 18x

Combine like terms: 21x + -48x = -27x
-45 + -5x = -5 + -27x + 18x

Combine like terms: -27x + 18x = -9x
-45 + -5x = -5 + -9x

Solving
-45 + -5x = -5 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-45 + -5x + 9x = -5 + -9x + 9x

Combine like terms: -5x + 9x = 4x
-45 + 4x = -5 + -9x + 9x

Combine like terms: -9x + 9x = 0
-45 + 4x = -5 + 0
-45 + 4x = -5

Add '45' to each side of the equation.
-45 + 45 + 4x = -5 + 45

Combine like terms: -45 + 45 = 0
0 + 4x = -5 + 45
4x = -5 + 45

Combine like terms: -5 + 45 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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