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

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


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

Reorder the terms:
4(-5 + 2x) + -2(3x + -4) = 22
(-5 * 4 + 2x * 4) + -2(3x + -4) = 22
(-20 + 8x) + -2(3x + -4) = 22

Reorder the terms:
-20 + 8x + -2(-4 + 3x) = 22
-20 + 8x + (-4 * -2 + 3x * -2) = 22
-20 + 8x + (8 + -6x) = 22

Reorder the terms:
-20 + 8 + 8x + -6x = 22

Combine like terms: -20 + 8 = -12
-12 + 8x + -6x = 22

Combine like terms: 8x + -6x = 2x
-12 + 2x = 22

Solving
-12 + 2x = 22

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 2x = 22 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 22 + 12
2x = 22 + 12

Combine like terms: 22 + 12 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17

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