18-4(x-2)=3(x+4)

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Solution for 18-4(x-2)=3(x+4) equation:


Simplifying
18 + -4(x + -2) = 3(x + 4)

Reorder the terms:
18 + -4(-2 + x) = 3(x + 4)
18 + (-2 * -4 + x * -4) = 3(x + 4)
18 + (8 + -4x) = 3(x + 4)

Combine like terms: 18 + 8 = 26
26 + -4x = 3(x + 4)

Reorder the terms:
26 + -4x = 3(4 + x)
26 + -4x = (4 * 3 + x * 3)
26 + -4x = (12 + 3x)

Solving
26 + -4x = 12 + 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.
26 + -4x + -3x = 12 + 3x + -3x

Combine like terms: -4x + -3x = -7x
26 + -7x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
26 + -7x = 12 + 0
26 + -7x = 12

Add '-26' to each side of the equation.
26 + -26 + -7x = 12 + -26

Combine like terms: 26 + -26 = 0
0 + -7x = 12 + -26
-7x = 12 + -26

Combine like terms: 12 + -26 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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