-7(x+3)=2(x+3)-5x

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Solution for -7(x+3)=2(x+3)-5x equation:


Simplifying
-7(x + 3) = 2(x + 3) + -5x

Reorder the terms:
-7(3 + x) = 2(x + 3) + -5x
(3 * -7 + x * -7) = 2(x + 3) + -5x
(-21 + -7x) = 2(x + 3) + -5x

Reorder the terms:
-21 + -7x = 2(3 + x) + -5x
-21 + -7x = (3 * 2 + x * 2) + -5x
-21 + -7x = (6 + 2x) + -5x

Combine like terms: 2x + -5x = -3x
-21 + -7x = 6 + -3x

Solving
-21 + -7x = 6 + -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.
-21 + -7x + 3x = 6 + -3x + 3x

Combine like terms: -7x + 3x = -4x
-21 + -4x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-21 + -4x = 6 + 0
-21 + -4x = 6

Add '21' to each side of the equation.
-21 + 21 + -4x = 6 + 21

Combine like terms: -21 + 21 = 0
0 + -4x = 6 + 21
-4x = 6 + 21

Combine like terms: 6 + 21 = 27
-4x = 27

Divide each side by '-4'.
x = -6.75

Simplifying
x = -6.75

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