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 = 24
5x = 24

Divide each side by '5'.
x = 4.8

Simplifying
x = 4.8

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