2.9(x+8.7)=7.8x-2.21

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Solution for 2.9(x+8.7)=7.8x-2.21 equation: 


Simplifying
2.9(x + 8.7) = 7.8x + -2.21

Reorder the terms:
2.9(8.7 + x) = 7.8x + -2.21
(8.7 * 2.9 + x * 2.9) = 7.8x + -2.21
(25.23 + 2.9x) = 7.8x + -2.21

Reorder the terms:
25.23 + 2.9x = -2.21 + 7.8x

Solving
25.23 + 2.9x = -2.21 + 7.8x

Solving for variable 'x'.

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

Add '-7.8x' to each side of the equation.
25.23 + 2.9x + -7.8x = -2.21 + 7.8x + -7.8x

Combine like terms: 2.9x + -7.8x = -4.9x
25.23 + -4.9x = -2.21 + 7.8x + -7.8x

Combine like terms: 7.8x + -7.8x = 0.0
25.23 + -4.9x = -2.21 + 0.0
25.23 + -4.9x = -2.21

Add '-25.23' to each side of the equation.
25.23 + -25.23 + -4.9x = -2.21 + -25.23

Combine like terms: 25.23 + -25.23 = 0.00
0.00 + -4.9x = -2.21 + -25.23
-4.9x = -2.21 + -25.23

Combine like terms: -2.21 + -25.23 = -27.44
-4.9x = -27.44

Divide each side by '-4.9'.
x = 5.6

Simplifying
x = 5.6

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