2(4x+1)-3(x-3)=x+35

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Solution for 2(4x+1)-3(x-3)=x+35 equation: 


Simplifying
2(4x + 1) + -3(x + -3) = x + 35

Reorder the terms:
2(1 + 4x) + -3(x + -3) = x + 35
(1 * 2 + 4x * 2) + -3(x + -3) = x + 35
(2 + 8x) + -3(x + -3) = x + 35

Reorder the terms:
2 + 8x + -3(-3 + x) = x + 35
2 + 8x + (-3 * -3 + x * -3) = x + 35
2 + 8x + (9 + -3x) = x + 35

Reorder the terms:
2 + 9 + 8x + -3x = x + 35

Combine like terms: 2 + 9 = 11
11 + 8x + -3x = x + 35

Combine like terms: 8x + -3x = 5x
11 + 5x = x + 35

Reorder the terms:
11 + 5x = 35 + x

Solving
11 + 5x = 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.
11 + 5x + -1x = 35 + x + -1x

Combine like terms: 5x + -1x = 4x
11 + 4x = 35 + x + -1x

Combine like terms: x + -1x = 0
11 + 4x = 35 + 0
11 + 4x = 35

Add '-11' to each side of the equation.
11 + -11 + 4x = 35 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = 35 + -11
4x = 35 + -11

Combine like terms: 35 + -11 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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