-4(2.5x+8.7)=(1.4-9.2x)6

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Solution for -4(2.5x+8.7)=(1.4-9.2x)6 equation:


Simplifying
-4(2.5x + 8.7) = (1.4 + -9.2x) * 6

Reorder the terms:
-4(8.7 + 2.5x) = (1.4 + -9.2x) * 6
(8.7 * -4 + 2.5x * -4) = (1.4 + -9.2x) * 6
(-34.8 + -10x) = (1.4 + -9.2x) * 6

Reorder the terms for easier multiplication:
-34.8 + -10x = 6(1.4 + -9.2x)
-34.8 + -10x = (1.4 * 6 + -9.2x * 6)
-34.8 + -10x = (8.4 + -55.2x)

Solving
-34.8 + -10x = 8.4 + -55.2x

Solving for variable 'x'.

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

Add '55.2x' to each side of the equation.
-34.8 + -10x + 55.2x = 8.4 + -55.2x + 55.2x

Combine like terms: -10x + 55.2x = 45.2x
-34.8 + 45.2x = 8.4 + -55.2x + 55.2x

Combine like terms: -55.2x + 55.2x = 0.0
-34.8 + 45.2x = 8.4 + 0.0
-34.8 + 45.2x = 8.4

Add '34.8' to each side of the equation.
-34.8 + 34.8 + 45.2x = 8.4 + 34.8

Combine like terms: -34.8 + 34.8 = 0.0
0.0 + 45.2x = 8.4 + 34.8
45.2x = 8.4 + 34.8

Combine like terms: 8.4 + 34.8 = 43.2
45.2x = 43.2

Divide each side by '45.2'.
x = 0.9557522124

Simplifying
x = 0.9557522124

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