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

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


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

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

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

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

Reorder the terms:
10 + 3x = 3 + 1 + 5x

Combine like terms: 3 + 1 = 4
10 + 3x = 4 + 5x

Solving
10 + 3x = 4 + 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.
10 + 3x + -5x = 4 + 5x + -5x

Combine like terms: 3x + -5x = -2x
10 + -2x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -2x = 4 + 0
10 + -2x = 4

Add '-10' to each side of the equation.
10 + -10 + -2x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 4 + -10
-2x = 4 + -10

Combine like terms: 4 + -10 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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