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

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


Simplifying
2(x + -5) + -3(x + 4) + 5(x + -1) = 0

Reorder the terms:
2(-5 + x) + -3(x + 4) + 5(x + -1) = 0
(-5 * 2 + x * 2) + -3(x + 4) + 5(x + -1) = 0
(-10 + 2x) + -3(x + 4) + 5(x + -1) = 0

Reorder the terms:
-10 + 2x + -3(4 + x) + 5(x + -1) = 0
-10 + 2x + (4 * -3 + x * -3) + 5(x + -1) = 0
-10 + 2x + (-12 + -3x) + 5(x + -1) = 0

Reorder the terms:
-10 + 2x + -12 + -3x + 5(-1 + x) = 0
-10 + 2x + -12 + -3x + (-1 * 5 + x * 5) = 0
-10 + 2x + -12 + -3x + (-5 + 5x) = 0

Reorder the terms:
-10 + -12 + -5 + 2x + -3x + 5x = 0

Combine like terms: -10 + -12 = -22
-22 + -5 + 2x + -3x + 5x = 0

Combine like terms: -22 + -5 = -27
-27 + 2x + -3x + 5x = 0

Combine like terms: 2x + -3x = -1x
-27 + -1x + 5x = 0

Combine like terms: -1x + 5x = 4x
-27 + 4x = 0

Solving
-27 + 4x = 0

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 4x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 4x = 0 + 27
4x = 0 + 27

Combine like terms: 0 + 27 = 27
4x = 27

Divide each side by '4'.
x = 6.75

Simplifying
x = 6.75

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