3x-4+2(-5x-3)=3x-30

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Solution for 3x-4+2(-5x-3)=3x-30 equation: 


Simplifying
3x + -4 + 2(-5x + -3) = 3x + -30

Reorder the terms:
3x + -4 + 2(-3 + -5x) = 3x + -30
3x + -4 + (-3 * 2 + -5x * 2) = 3x + -30
3x + -4 + (-6 + -10x) = 3x + -30

Reorder the terms:
-4 + -6 + 3x + -10x = 3x + -30

Combine like terms: -4 + -6 = -10
-10 + 3x + -10x = 3x + -30

Combine like terms: 3x + -10x = -7x
-10 + -7x = 3x + -30

Reorder the terms:
-10 + -7x = -30 + 3x

Solving
-10 + -7x = -30 + 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.
-10 + -7x + -3x = -30 + 3x + -3x

Combine like terms: -7x + -3x = -10x
-10 + -10x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -10x = -30 + 0
-10 + -10x = -30

Add '10' to each side of the equation.
-10 + 10 + -10x = -30 + 10

Combine like terms: -10 + 10 = 0
0 + -10x = -30 + 10
-10x = -30 + 10

Combine like terms: -30 + 10 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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