4(2x-5)=3-(2x+1)

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Solution for 4(2x-5)=3-(2x+1) equation:


Simplifying
4(2x + -5) = 3 + -1(2x + 1)

Reorder the terms:
4(-5 + 2x) = 3 + -1(2x + 1)
(-5 * 4 + 2x * 4) = 3 + -1(2x + 1)
(-20 + 8x) = 3 + -1(2x + 1)

Reorder the terms:
-20 + 8x = 3 + -1(1 + 2x)
-20 + 8x = 3 + (1 * -1 + 2x * -1)
-20 + 8x = 3 + (-1 + -2x)

Combine like terms: 3 + -1 = 2
-20 + 8x = 2 + -2x

Solving
-20 + 8x = 2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-20 + 8x + 2x = 2 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-20 + 10x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 10x = 2 + 0
-20 + 10x = 2

Add '20' to each side of the equation.
-20 + 20 + 10x = 2 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 2 + 20
10x = 2 + 20

Combine like terms: 2 + 20 = 22
10x = 22

Divide each side by '10'.
x = 2.2

Simplifying
x = 2.2

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