2(5x+1)-3(x+3)=x+35

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Solution for 2(5x+1)-3(x+3)=x+35 equation: 


Simplifying
2(5x + 1) + -3(x + 3) = x + 35

Reorder the terms:
2(1 + 5x) + -3(x + 3) = x + 35
(1 * 2 + 5x * 2) + -3(x + 3) = x + 35
(2 + 10x) + -3(x + 3) = x + 35

Reorder the terms:
2 + 10x + -3(3 + x) = x + 35
2 + 10x + (3 * -3 + x * -3) = x + 35
2 + 10x + (-9 + -3x) = x + 35

Reorder the terms:
2 + -9 + 10x + -3x = x + 35

Combine like terms: 2 + -9 = -7
-7 + 10x + -3x = x + 35

Combine like terms: 10x + -3x = 7x
-7 + 7x = x + 35

Reorder the terms:
-7 + 7x = 35 + x

Solving
-7 + 7x = 35 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-7 + 7x + -1x = 35 + x + -1x

Combine like terms: 7x + -1x = 6x
-7 + 6x = 35 + x + -1x

Combine like terms: x + -1x = 0
-7 + 6x = 35 + 0
-7 + 6x = 35

Add '7' to each side of the equation.
-7 + 7 + 6x = 35 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 35 + 7
6x = 35 + 7

Combine like terms: 35 + 7 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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