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

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Solution for 2(x-5)-3(x+1)=0 equation:


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

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

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

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

Combine like terms: -10 + -3 = -13
-13 + 2x + -3x = 0

Combine like terms: 2x + -3x = -1x
-13 + -1x = 0

Solving
-13 + -1x = 0

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

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