2(x-5)=4(x+1)-10

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Solution for 2(x-5)=4(x+1)-10 equation: 


Simplifying
2(x + -5) = 4(x + 1) + -10

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

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

Reorder the terms:
-10 + 2x = 4 + -10 + 4x

Combine like terms: 4 + -10 = -6
-10 + 2x = -6 + 4x

Solving
-10 + 2x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 2x + -4x = -6 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-10 + -2x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + -2x = -6 + 0
-10 + -2x = -6

Add '10' to each side of the equation.
-10 + 10 + -2x = -6 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = -6 + 10
-2x = -6 + 10

Combine like terms: -6 + 10 = 4
-2x = 4

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

Simplifying
x = -2

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