4(x+10)+x=3(x+5)+2

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Solution for 4(x+10)+x=3(x+5)+2 equation:


Simplifying
4(x + 10) + x = 3(x + 5) + 2

Reorder the terms:
4(10 + x) + x = 3(x + 5) + 2
(10 * 4 + x * 4) + x = 3(x + 5) + 2
(40 + 4x) + x = 3(x + 5) + 2

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

Reorder the terms:
40 + 5x = 3(5 + x) + 2
40 + 5x = (5 * 3 + x * 3) + 2
40 + 5x = (15 + 3x) + 2

Reorder the terms:
40 + 5x = 15 + 2 + 3x

Combine like terms: 15 + 2 = 17
40 + 5x = 17 + 3x

Solving
40 + 5x = 17 + 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 = 17 + 3x + -3x

Combine like terms: 5x + -3x = 2x
40 + 2x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
40 + 2x = 17 + 0
40 + 2x = 17

Add '-40' to each side of the equation.
40 + -40 + 2x = 17 + -40

Combine like terms: 40 + -40 = 0
0 + 2x = 17 + -40
2x = 17 + -40

Combine like terms: 17 + -40 = -23
2x = -23

Divide each side by '2'.
x = -11.5

Simplifying
x = -11.5

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