4[x+10]+x=3[x+3]-2

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Solution for 4[x+10]+x=3[x+3]-2 equation: 


Simplifying
4[x + 10] + x = 3[x + 3] + -2

Reorder the terms:
4[10 + x] + x = 3[x + 3] + -2
[10 * 4 + x * 4] + x = 3[x + 3] + -2
[40 + 4x] + x = 3[x + 3] + -2

Combine like terms: 4x + x = 5x
40 + 5x = 3[x + 3] + -2

Reorder the terms:
40 + 5x = 3[3 + x] + -2
40 + 5x = [3 * 3 + x * 3] + -2
40 + 5x = [9 + 3x] + -2

Reorder the terms:
40 + 5x = 9 + -2 + 3x

Combine like terms: 9 + -2 = 7
40 + 5x = 7 + 3x

Solving
40 + 5x = 7 + 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.
40 + 5x + -3x = 7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
40 + 2x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
40 + 2x = 7 + 0
40 + 2x = 7

Add '-40' to each side of the equation.
40 + -40 + 2x = 7 + -40

Combine like terms: 40 + -40 = 0
0 + 2x = 7 + -40
2x = 7 + -40

Combine like terms: 7 + -40 = -33
2x = -33

Divide each side by '2'.
x = -16.5

Simplifying
x = -16.5

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