10-2(4x+1)=18-4x

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Solution for 10-2(4x+1)=18-4x equation:


Simplifying
10 + -2(4x + 1) = 18 + -4x

Reorder the terms:
10 + -2(1 + 4x) = 18 + -4x
10 + (1 * -2 + 4x * -2) = 18 + -4x
10 + (-2 + -8x) = 18 + -4x

Combine like terms: 10 + -2 = 8
8 + -8x = 18 + -4x

Solving
8 + -8x = 18 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
8 + -8x + 4x = 18 + -4x + 4x

Combine like terms: -8x + 4x = -4x
8 + -4x = 18 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + -4x = 18 + 0
8 + -4x = 18

Add '-8' to each side of the equation.
8 + -8 + -4x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 18 + -8
-4x = 18 + -8

Combine like terms: 18 + -8 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

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