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

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


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

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

Combine like terms: 5 + -6 = -1
-1 + -3x = x + -7

Reorder the terms:
-1 + -3x = -7 + x

Solving
-1 + -3x = -7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1 + -3x + -1x = -7 + x + -1x

Combine like terms: -3x + -1x = -4x
-1 + -4x = -7 + x + -1x

Combine like terms: x + -1x = 0
-1 + -4x = -7 + 0
-1 + -4x = -7

Add '1' to each side of the equation.
-1 + 1 + -4x = -7 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = -7 + 1
-4x = -7 + 1

Combine like terms: -7 + 1 = -6
-4x = -6

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

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