6-2(5x+8)=18-3x

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Solution for 6-2(5x+8)=18-3x equation:


Simplifying
6 + -2(5x + 8) = 18 + -3x

Reorder the terms:
6 + -2(8 + 5x) = 18 + -3x
6 + (8 * -2 + 5x * -2) = 18 + -3x
6 + (-16 + -10x) = 18 + -3x

Combine like terms: 6 + -16 = -10
-10 + -10x = 18 + -3x

Solving
-10 + -10x = 18 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-10 + -10x + 3x = 18 + -3x + 3x

Combine like terms: -10x + 3x = -7x
-10 + -7x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + -7x = 18 + 0
-10 + -7x = 18

Add '10' to each side of the equation.
-10 + 10 + -7x = 18 + 10

Combine like terms: -10 + 10 = 0
0 + -7x = 18 + 10
-7x = 18 + 10

Combine like terms: 18 + 10 = 28
-7x = 28

Divide each side by '-7'.
x = -4

Simplifying
x = -4

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