5(2x-1)-(2x-3)=64

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Solution for 5(2x-1)-(2x-3)=64 equation:


Simplifying
5(2x + -1) + -1(2x + -3) = 64

Reorder the terms:
5(-1 + 2x) + -1(2x + -3) = 64
(-1 * 5 + 2x * 5) + -1(2x + -3) = 64
(-5 + 10x) + -1(2x + -3) = 64

Reorder the terms:
-5 + 10x + -1(-3 + 2x) = 64
-5 + 10x + (-3 * -1 + 2x * -1) = 64
-5 + 10x + (3 + -2x) = 64

Reorder the terms:
-5 + 3 + 10x + -2x = 64

Combine like terms: -5 + 3 = -2
-2 + 10x + -2x = 64

Combine like terms: 10x + -2x = 8x
-2 + 8x = 64

Solving
-2 + 8x = 64

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 8x = 64 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = 64 + 2
8x = 64 + 2

Combine like terms: 64 + 2 = 66
8x = 66

Divide each side by '8'.
x = 8.25

Simplifying
x = 8.25

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