2(x-21)=10(x+4)

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Solution for 2(x-21)=10(x+4) equation: 


Simplifying
2(x + -21) = 10(x + 4)

Reorder the terms:
2(-21 + x) = 10(x + 4)
(-21 * 2 + x * 2) = 10(x + 4)
(-42 + 2x) = 10(x + 4)

Reorder the terms:
-42 + 2x = 10(4 + x)
-42 + 2x = (4 * 10 + x * 10)
-42 + 2x = (40 + 10x)

Solving
-42 + 2x = 40 + 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.
-42 + 2x + -10x = 40 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-42 + -8x = 40 + 10x + -10x

Combine like terms: 10x + -10x = 0
-42 + -8x = 40 + 0
-42 + -8x = 40

Add '42' to each side of the equation.
-42 + 42 + -8x = 40 + 42

Combine like terms: -42 + 42 = 0
0 + -8x = 40 + 42
-8x = 40 + 42

Combine like terms: 40 + 42 = 82
-8x = 82

Divide each side by '-8'.
x = -10.25

Simplifying
x = -10.25

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