5-3(x+7)=6(x-7)+8

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Solution for 5-3(x+7)=6(x-7)+8 equation:


Simplifying
5 + -3(x + 7) = 6(x + -7) + 8

Reorder the terms:
5 + -3(7 + x) = 6(x + -7) + 8
5 + (7 * -3 + x * -3) = 6(x + -7) + 8
5 + (-21 + -3x) = 6(x + -7) + 8

Combine like terms: 5 + -21 = -16
-16 + -3x = 6(x + -7) + 8

Reorder the terms:
-16 + -3x = 6(-7 + x) + 8
-16 + -3x = (-7 * 6 + x * 6) + 8
-16 + -3x = (-42 + 6x) + 8

Reorder the terms:
-16 + -3x = -42 + 8 + 6x

Combine like terms: -42 + 8 = -34
-16 + -3x = -34 + 6x

Solving
-16 + -3x = -34 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-16 + -3x + -6x = -34 + 6x + -6x

Combine like terms: -3x + -6x = -9x
-16 + -9x = -34 + 6x + -6x

Combine like terms: 6x + -6x = 0
-16 + -9x = -34 + 0
-16 + -9x = -34

Add '16' to each side of the equation.
-16 + 16 + -9x = -34 + 16

Combine like terms: -16 + 16 = 0
0 + -9x = -34 + 16
-9x = -34 + 16

Combine like terms: -34 + 16 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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