3(x+5)+4(x-1)=2x

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Solution for 3(x+5)+4(x-1)=2x equation: 


Simplifying
3(x + 5) + 4(x + -1) = 2x

Reorder the terms:
3(5 + x) + 4(x + -1) = 2x
(5 * 3 + x * 3) + 4(x + -1) = 2x
(15 + 3x) + 4(x + -1) = 2x

Reorder the terms:
15 + 3x + 4(-1 + x) = 2x
15 + 3x + (-1 * 4 + x * 4) = 2x
15 + 3x + (-4 + 4x) = 2x

Reorder the terms:
15 + -4 + 3x + 4x = 2x

Combine like terms: 15 + -4 = 11
11 + 3x + 4x = 2x

Combine like terms: 3x + 4x = 7x
11 + 7x = 2x

Solving
11 + 7x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + 7x + -2x = 2x + -2x

Combine like terms: 7x + -2x = 5x
11 + 5x = 2x + -2x

Combine like terms: 2x + -2x = 0
11 + 5x = 0

Add '-11' to each side of the equation.
11 + -11 + 5x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 0 + -11
5x = 0 + -11

Combine like terms: 0 + -11 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2

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