-3x+2(3x+1)=2(5x-3)-27

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Solution for -3x+2(3x+1)=2(5x-3)-27 equation:


Simplifying
-3x + 2(3x + 1) = 2(5x + -3) + -27

Reorder the terms:
-3x + 2(1 + 3x) = 2(5x + -3) + -27
-3x + (1 * 2 + 3x * 2) = 2(5x + -3) + -27
-3x + (2 + 6x) = 2(5x + -3) + -27

Reorder the terms:
2 + -3x + 6x = 2(5x + -3) + -27

Combine like terms: -3x + 6x = 3x
2 + 3x = 2(5x + -3) + -27

Reorder the terms:
2 + 3x = 2(-3 + 5x) + -27
2 + 3x = (-3 * 2 + 5x * 2) + -27
2 + 3x = (-6 + 10x) + -27

Reorder the terms:
2 + 3x = -6 + -27 + 10x

Combine like terms: -6 + -27 = -33
2 + 3x = -33 + 10x

Solving
2 + 3x = -33 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
2 + 3x + -10x = -33 + 10x + -10x

Combine like terms: 3x + -10x = -7x
2 + -7x = -33 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -7x = -33 + 0
2 + -7x = -33

Add '-2' to each side of the equation.
2 + -2 + -7x = -33 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = -33 + -2
-7x = -33 + -2

Combine like terms: -33 + -2 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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