5(x-3)-10=3x+1

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Solution for 5(x-3)-10=3x+1 equation:


Simplifying
5(x + -3) + -10 = 3x + 1

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

Reorder the terms:
-15 + -10 + 5x = 3x + 1

Combine like terms: -15 + -10 = -25
-25 + 5x = 3x + 1

Reorder the terms:
-25 + 5x = 1 + 3x

Solving
-25 + 5x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-25 + 5x + -3x = 1 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-25 + 2x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-25 + 2x = 1 + 0
-25 + 2x = 1

Add '25' to each side of the equation.
-25 + 25 + 2x = 1 + 25

Combine like terms: -25 + 25 = 0
0 + 2x = 1 + 25
2x = 1 + 25

Combine like terms: 1 + 25 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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