6x-4(x-2)=7x+18-4y

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Solution for 6x-4(x-2)=7x+18-4y equation:


Simplifying
6x + -4(x + -2) = 7x + 18 + -4y

Reorder the terms:
6x + -4(-2 + x) = 7x + 18 + -4y
6x + (-2 * -4 + x * -4) = 7x + 18 + -4y
6x + (8 + -4x) = 7x + 18 + -4y

Reorder the terms:
8 + 6x + -4x = 7x + 18 + -4y

Combine like terms: 6x + -4x = 2x
8 + 2x = 7x + 18 + -4y

Reorder the terms:
8 + 2x = 18 + 7x + -4y

Solving
8 + 2x = 18 + 7x + -4y

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 2x + -7x = 18 + 7x + -7x + -4y

Combine like terms: 2x + -7x = -5x
8 + -5x = 18 + 7x + -7x + -4y

Combine like terms: 7x + -7x = 0
8 + -5x = 18 + 0 + -4y
8 + -5x = 18 + -4y

Add '-8' to each side of the equation.
8 + -8 + -5x = 18 + -8 + -4y

Combine like terms: 8 + -8 = 0
0 + -5x = 18 + -8 + -4y
-5x = 18 + -8 + -4y

Combine like terms: 18 + -8 = 10
-5x = 10 + -4y

Divide each side by '-5'.
x = -2 + 0.8y

Simplifying
x = -2 + 0.8y

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