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

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


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

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

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

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

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

Combine like terms: 3x + -3x = 0
-7 + -2x = -6 + 0
-7 + -2x = -6

Add '7' to each side of the equation.
-7 + 7 + -2x = -6 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = -6 + 7
-2x = -6 + 7

Combine like terms: -6 + 7 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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