4(5.2x-0.7)=8x-21

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Solution for 4(5.2x-0.7)=8x-21 equation: 


Simplifying
4(5.2x + -0.7) = 8x + -21

Reorder the terms:
4(-0.7 + 5.2x) = 8x + -21
(-0.7 * 4 + 5.2x * 4) = 8x + -21
(-2.8 + 20.8x) = 8x + -21

Reorder the terms:
-2.8 + 20.8x = -21 + 8x

Solving
-2.8 + 20.8x = -21 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2.8 + 20.8x + -8x = -21 + 8x + -8x

Combine like terms: 20.8x + -8x = 12.8x
-2.8 + 12.8x = -21 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2.8 + 12.8x = -21 + 0
-2.8 + 12.8x = -21

Add '2.8' to each side of the equation.
-2.8 + 2.8 + 12.8x = -21 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + 12.8x = -21 + 2.8
12.8x = -21 + 2.8

Combine like terms: -21 + 2.8 = -18.2
12.8x = -18.2

Divide each side by '12.8'.
x = -1.421875

Simplifying
x = -1.421875

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