0.3(x-7.538)=-5.1x-6.5814

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Solution for 0.3(x-7.538)=-5.1x-6.5814 equation:


Simplifying
0.3(x + -7.538) = -5.1x + -6.5814

Reorder the terms:
0.3(-7.538 + x) = -5.1x + -6.5814
(-7.538 * 0.3 + x * 0.3) = -5.1x + -6.5814
(-2.2614 + 0.3x) = -5.1x + -6.5814

Reorder the terms:
-2.2614 + 0.3x = -6.5814 + -5.1x

Solving
-2.2614 + 0.3x = -6.5814 + -5.1x

Solving for variable 'x'.

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

Add '5.1x' to each side of the equation.
-2.2614 + 0.3x + 5.1x = -6.5814 + -5.1x + 5.1x

Combine like terms: 0.3x + 5.1x = 5.4x
-2.2614 + 5.4x = -6.5814 + -5.1x + 5.1x

Combine like terms: -5.1x + 5.1x = 0.0
-2.2614 + 5.4x = -6.5814 + 0.0
-2.2614 + 5.4x = -6.5814

Add '2.2614' to each side of the equation.
-2.2614 + 2.2614 + 5.4x = -6.5814 + 2.2614

Combine like terms: -2.2614 + 2.2614 = 0.0000
0.0000 + 5.4x = -6.5814 + 2.2614
5.4x = -6.5814 + 2.2614

Combine like terms: -6.5814 + 2.2614 = -4.32
5.4x = -4.32

Divide each side by '5.4'.
x = -0.8

Simplifying
x = -0.8

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