2.1(x+5)=6.4(5x+10)

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Solution for 2.1(x+5)=6.4(5x+10) equation: 


Simplifying
2.1(x + 5) = 6.4(5x + 10)

Reorder the terms:
2.1(5 + x) = 6.4(5x + 10)
(5 * 2.1 + x * 2.1) = 6.4(5x + 10)
(10.5 + 2.1x) = 6.4(5x + 10)

Reorder the terms:
10.5 + 2.1x = 6.4(10 + 5x)
10.5 + 2.1x = (10 * 6.4 + 5x * 6.4)
10.5 + 2.1x = (64 + 32x)

Solving
10.5 + 2.1x = 64 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
10.5 + 2.1x + -32x = 64 + 32x + -32x

Combine like terms: 2.1x + -32x = -29.9x
10.5 + -29.9x = 64 + 32x + -32x

Combine like terms: 32x + -32x = 0
10.5 + -29.9x = 64 + 0
10.5 + -29.9x = 64

Add '-10.5' to each side of the equation.
10.5 + -10.5 + -29.9x = 64 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + -29.9x = 64 + -10.5
-29.9x = 64 + -10.5

Combine like terms: 64 + -10.5 = 53.5
-29.9x = 53.5

Divide each side by '-29.9'.
x = -1.789297659

Simplifying
x = -1.789297659

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