6(3x-2)-4(4x-5)=22

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Solution for 6(3x-2)-4(4x-5)=22 equation:


Simplifying
6(3x + -2) + -4(4x + -5) = 22

Reorder the terms:
6(-2 + 3x) + -4(4x + -5) = 22
(-2 * 6 + 3x * 6) + -4(4x + -5) = 22
(-12 + 18x) + -4(4x + -5) = 22

Reorder the terms:
-12 + 18x + -4(-5 + 4x) = 22
-12 + 18x + (-5 * -4 + 4x * -4) = 22
-12 + 18x + (20 + -16x) = 22

Reorder the terms:
-12 + 20 + 18x + -16x = 22

Combine like terms: -12 + 20 = 8
8 + 18x + -16x = 22

Combine like terms: 18x + -16x = 2x
8 + 2x = 22

Solving
8 + 2x = 22

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 2x = 22 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 22 + -8
2x = 22 + -8

Combine like terms: 22 + -8 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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