0.375x+12=14(-5x+3)+x

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Solution for 0.375x+12=14(-5x+3)+x equation:


Simplifying
0.375x + 12 = 14(-5x + 3) + x

Reorder the terms:
12 + 0.375x = 14(-5x + 3) + x

Reorder the terms:
12 + 0.375x = 14(3 + -5x) + x
12 + 0.375x = (3 * 14 + -5x * 14) + x
12 + 0.375x = (42 + -70x) + x

Combine like terms: -70x + x = -69x
12 + 0.375x = 42 + -69x

Solving
12 + 0.375x = 42 + -69x

Solving for variable 'x'.

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

Add '69x' to each side of the equation.
12 + 0.375x + 69x = 42 + -69x + 69x

Combine like terms: 0.375x + 69x = 69.375x
12 + 69.375x = 42 + -69x + 69x

Combine like terms: -69x + 69x = 0
12 + 69.375x = 42 + 0
12 + 69.375x = 42

Add '-12' to each side of the equation.
12 + -12 + 69.375x = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 69.375x = 42 + -12
69.375x = 42 + -12

Combine like terms: 42 + -12 = 30
69.375x = 30

Divide each side by '69.375'.
x = 0.4324324324

Simplifying
x = 0.4324324324

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