3(x-1)=-7(x+2)+27

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Solution for 3(x-1)=-7(x+2)+27 equation:


Simplifying
3(x + -1) = -7(x + 2) + 27

Reorder the terms:
3(-1 + x) = -7(x + 2) + 27
(-1 * 3 + x * 3) = -7(x + 2) + 27
(-3 + 3x) = -7(x + 2) + 27

Reorder the terms:
-3 + 3x = -7(2 + x) + 27
-3 + 3x = (2 * -7 + x * -7) + 27
-3 + 3x = (-14 + -7x) + 27

Reorder the terms:
-3 + 3x = -14 + 27 + -7x

Combine like terms: -14 + 27 = 13
-3 + 3x = 13 + -7x

Solving
-3 + 3x = 13 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-3 + 3x + 7x = 13 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-3 + 10x = 13 + -7x + 7x

Combine like terms: -7x + 7x = 0
-3 + 10x = 13 + 0
-3 + 10x = 13

Add '3' to each side of the equation.
-3 + 3 + 10x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 13 + 3
10x = 13 + 3

Combine like terms: 13 + 3 = 16
10x = 16

Divide each side by '10'.
x = 1.6

Simplifying
x = 1.6

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