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

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


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

Reorder the terms:
4(2 + x) = 10(x + -10)
(2 * 4 + x * 4) = 10(x + -10)
(8 + 4x) = 10(x + -10)

Reorder the terms:
8 + 4x = 10(-10 + x)
8 + 4x = (-10 * 10 + x * 10)
8 + 4x = (-100 + 10x)

Solving
8 + 4x = -100 + 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.
8 + 4x + -10x = -100 + 10x + -10x

Combine like terms: 4x + -10x = -6x
8 + -6x = -100 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + -6x = -100 + 0
8 + -6x = -100

Add '-8' to each side of the equation.
8 + -8 + -6x = -100 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = -100 + -8
-6x = -100 + -8

Combine like terms: -100 + -8 = -108
-6x = -108

Divide each side by '-6'.
x = 18

Simplifying
x = 18

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