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

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


Simplifying
4(2x + -5) + -1(x + -2) = 0

Reorder the terms:
4(-5 + 2x) + -1(x + -2) = 0
(-5 * 4 + 2x * 4) + -1(x + -2) = 0
(-20 + 8x) + -1(x + -2) = 0

Reorder the terms:
-20 + 8x + -1(-2 + x) = 0
-20 + 8x + (-2 * -1 + x * -1) = 0
-20 + 8x + (2 + -1x) = 0

Reorder the terms:
-20 + 2 + 8x + -1x = 0

Combine like terms: -20 + 2 = -18
-18 + 8x + -1x = 0

Combine like terms: 8x + -1x = 7x
-18 + 7x = 0

Solving
-18 + 7x = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 7x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 7x = 0 + 18
7x = 0 + 18

Combine like terms: 0 + 18 = 18
7x = 18

Divide each side by '7'.
x = 2.571428571

Simplifying
x = 2.571428571

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