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

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


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

Reorder the terms:
4(-5 + x) = 10(x + 1)
(-5 * 4 + x * 4) = 10(x + 1)
(-20 + 4x) = 10(x + 1)

Reorder the terms:
-20 + 4x = 10(1 + x)
-20 + 4x = (1 * 10 + x * 10)
-20 + 4x = (10 + 10x)

Solving
-20 + 4x = 10 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-20 + 4x + -10x = 10 + 10x + -10x

Combine like terms: 4x + -10x = -6x
-20 + -6x = 10 + 10x + -10x

Combine like terms: 10x + -10x = 0
-20 + -6x = 10 + 0
-20 + -6x = 10

Add '20' to each side of the equation.
-20 + 20 + -6x = 10 + 20

Combine like terms: -20 + 20 = 0
0 + -6x = 10 + 20
-6x = 10 + 20

Combine like terms: 10 + 20 = 30
-6x = 30

Divide each side by '-6'.
x = -5

Simplifying
x = -5

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