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

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Solution for 4(x+10)+x=3(x+3)-5 equation: 


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

Reorder the terms:
4(10 + x) + x = 3(x + 3) + -5
(10 * 4 + x * 4) + x = 3(x + 3) + -5
(40 + 4x) + x = 3(x + 3) + -5

Combine like terms: 4x + x = 5x
40 + 5x = 3(x + 3) + -5

Reorder the terms:
40 + 5x = 3(3 + x) + -5
40 + 5x = (3 * 3 + x * 3) + -5
40 + 5x = (9 + 3x) + -5

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

Combine like terms: 9 + -5 = 4
40 + 5x = 4 + 3x

Solving
40 + 5x = 4 + 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 = 4 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
40 + 2x = 4 + 0
40 + 2x = 4

Add '-40' to each side of the equation.
40 + -40 + 2x = 4 + -40

Combine like terms: 40 + -40 = 0
0 + 2x = 4 + -40
2x = 4 + -40

Combine like terms: 4 + -40 = -36
2x = -36

Divide each side by '2'.
x = -18

Simplifying
x = -18

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