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

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


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

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

Reorder the terms:
-10 + 3 + 2x = 5x + -8 + x

Combine like terms: -10 + 3 = -7
-7 + 2x = 5x + -8 + x

Reorder the terms:
-7 + 2x = -8 + 5x + x

Combine like terms: 5x + x = 6x
-7 + 2x = -8 + 6x

Solving
-7 + 2x = -8 + 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.
-7 + 2x + -6x = -8 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-7 + -4x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -4x = -8 + 0
-7 + -4x = -8

Add '7' to each side of the equation.
-7 + 7 + -4x = -8 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = -8 + 7
-4x = -8 + 7

Combine like terms: -8 + 7 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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