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

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


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

Reorder the terms:
5(-2 + x) + -3(2 + -1x) = 5(x + -2) + 1
(-2 * 5 + x * 5) + -3(2 + -1x) = 5(x + -2) + 1
(-10 + 5x) + -3(2 + -1x) = 5(x + -2) + 1
-10 + 5x + (2 * -3 + -1x * -3) = 5(x + -2) + 1
-10 + 5x + (-6 + 3x) = 5(x + -2) + 1

Reorder the terms:
-10 + -6 + 5x + 3x = 5(x + -2) + 1

Combine like terms: -10 + -6 = -16
-16 + 5x + 3x = 5(x + -2) + 1

Combine like terms: 5x + 3x = 8x
-16 + 8x = 5(x + -2) + 1

Reorder the terms:
-16 + 8x = 5(-2 + x) + 1
-16 + 8x = (-2 * 5 + x * 5) + 1
-16 + 8x = (-10 + 5x) + 1

Reorder the terms:
-16 + 8x = -10 + 1 + 5x

Combine like terms: -10 + 1 = -9
-16 + 8x = -9 + 5x

Solving
-16 + 8x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-16 + 8x + -5x = -9 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-16 + 3x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + 3x = -9 + 0
-16 + 3x = -9

Add '16' to each side of the equation.
-16 + 16 + 3x = -9 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = -9 + 16
3x = -9 + 16

Combine like terms: -9 + 16 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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