10(3+x)=15(x-1)+1

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Solution for 10(3+x)=15(x-1)+1 equation: 


Simplifying
10(3 + x) = 15(x + -1) + 1
(3 * 10 + x * 10) = 15(x + -1) + 1
(30 + 10x) = 15(x + -1) + 1

Reorder the terms:
30 + 10x = 15(-1 + x) + 1
30 + 10x = (-1 * 15 + x * 15) + 1
30 + 10x = (-15 + 15x) + 1

Reorder the terms:
30 + 10x = -15 + 1 + 15x

Combine like terms: -15 + 1 = -14
30 + 10x = -14 + 15x

Solving
30 + 10x = -14 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
30 + 10x + -15x = -14 + 15x + -15x

Combine like terms: 10x + -15x = -5x
30 + -5x = -14 + 15x + -15x

Combine like terms: 15x + -15x = 0
30 + -5x = -14 + 0
30 + -5x = -14

Add '-30' to each side of the equation.
30 + -30 + -5x = -14 + -30

Combine like terms: 30 + -30 = 0
0 + -5x = -14 + -30
-5x = -14 + -30

Combine like terms: -14 + -30 = -44
-5x = -44

Divide each side by '-5'.
x = 8.8

Simplifying
x = 8.8

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