5+2(4x-5)=8-3(2x+1)

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Solution for 5+2(4x-5)=8-3(2x+1) equation:


Simplifying
5 + 2(4x + -5) = 8 + -3(2x + 1)

Reorder the terms:
5 + 2(-5 + 4x) = 8 + -3(2x + 1)
5 + (-5 * 2 + 4x * 2) = 8 + -3(2x + 1)
5 + (-10 + 8x) = 8 + -3(2x + 1)

Combine like terms: 5 + -10 = -5
-5 + 8x = 8 + -3(2x + 1)

Reorder the terms:
-5 + 8x = 8 + -3(1 + 2x)
-5 + 8x = 8 + (1 * -3 + 2x * -3)
-5 + 8x = 8 + (-3 + -6x)

Combine like terms: 8 + -3 = 5
-5 + 8x = 5 + -6x

Solving
-5 + 8x = 5 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-5 + 8x + 6x = 5 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-5 + 14x = 5 + -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + 14x = 5 + 0
-5 + 14x = 5

Add '5' to each side of the equation.
-5 + 5 + 14x = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 14x = 5 + 5
14x = 5 + 5

Combine like terms: 5 + 5 = 10
14x = 10

Divide each side by '14'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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