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

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


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

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

Reorder the terms:
-10 + 2x + -3(-5 + 2x) = 5x + 1
-10 + 2x + (-5 * -3 + 2x * -3) = 5x + 1
-10 + 2x + (15 + -6x) = 5x + 1

Reorder the terms:
-10 + 15 + 2x + -6x = 5x + 1

Combine like terms: -10 + 15 = 5
5 + 2x + -6x = 5x + 1

Combine like terms: 2x + -6x = -4x
5 + -4x = 5x + 1

Reorder the terms:
5 + -4x = 1 + 5x

Solving
5 + -4x = 1 + 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.
5 + -4x + -5x = 1 + 5x + -5x

Combine like terms: -4x + -5x = -9x
5 + -9x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -9x = 1 + 0
5 + -9x = 1

Add '-5' to each side of the equation.
5 + -5 + -9x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = 1 + -5
-9x = 1 + -5

Combine like terms: 1 + -5 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444

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