3x-(x+8)=-2(x+7)

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Solution for 3x-(x+8)=-2(x+7) equation:


Simplifying
3x + -1(x + 8) = -2(x + 7)

Reorder the terms:
3x + -1(8 + x) = -2(x + 7)
3x + (8 * -1 + x * -1) = -2(x + 7)
3x + (-8 + -1x) = -2(x + 7)

Reorder the terms:
-8 + 3x + -1x = -2(x + 7)

Combine like terms: 3x + -1x = 2x
-8 + 2x = -2(x + 7)

Reorder the terms:
-8 + 2x = -2(7 + x)
-8 + 2x = (7 * -2 + x * -2)
-8 + 2x = (-14 + -2x)

Solving
-8 + 2x = -14 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-8 + 2x + 2x = -14 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-8 + 4x = -14 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 4x = -14 + 0
-8 + 4x = -14

Add '8' to each side of the equation.
-8 + 8 + 4x = -14 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = -14 + 8
4x = -14 + 8

Combine like terms: -14 + 8 = -6
4x = -6

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

Simplifying
x = -1.5

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