3(x-7)+5=-2x-8

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Solution for 3(x-7)+5=-2x-8 equation:


Simplifying
3(x + -7) + 5 = -2x + -8

Reorder the terms:
3(-7 + x) + 5 = -2x + -8
(-7 * 3 + x * 3) + 5 = -2x + -8
(-21 + 3x) + 5 = -2x + -8

Reorder the terms:
-21 + 5 + 3x = -2x + -8

Combine like terms: -21 + 5 = -16
-16 + 3x = -2x + -8

Reorder the terms:
-16 + 3x = -8 + -2x

Solving
-16 + 3x = -8 + -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.
-16 + 3x + 2x = -8 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-16 + 5x = -8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-16 + 5x = -8 + 0
-16 + 5x = -8

Add '16' to each side of the equation.
-16 + 16 + 5x = -8 + 16

Combine like terms: -16 + 16 = 0
0 + 5x = -8 + 16
5x = -8 + 16

Combine like terms: -8 + 16 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6

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