0.004(x-89)+0.007(12+x)=0.004(-12-x)-0.001x

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Solution for 0.004(x-89)+0.007(12+x)=0.004(-12-x)-0.001x equation: 


Simplifying
0.004(x + -89) + 0.007(12 + x) = 0.004(-12 + -1x) + -0.001x

Reorder the terms:
0.004(-89 + x) + 0.007(12 + x) = 0.004(-12 + -1x) + -0.001x
(-89 * 0.004 + x * 0.004) + 0.007(12 + x) = 0.004(-12 + -1x) + -0.001x
(-0.356 + 0.004x) + 0.007(12 + x) = 0.004(-12 + -1x) + -0.001x
-0.356 + 0.004x + (12 * 0.007 + x * 0.007) = 0.004(-12 + -1x) + -0.001x
-0.356 + 0.004x + (0.084 + 0.007x) = 0.004(-12 + -1x) + -0.001x

Reorder the terms:
-0.356 + 0.084 + 0.004x + 0.007x = 0.004(-12 + -1x) + -0.001x

Combine like terms: -0.356 + 0.084 = -0.272
-0.272 + 0.004x + 0.007x = 0.004(-12 + -1x) + -0.001x

Combine like terms: 0.004x + 0.007x = 0.011x
-0.272 + 0.011x = 0.004(-12 + -1x) + -0.001x
-0.272 + 0.011x = (-12 * 0.004 + -1x * 0.004) + -0.001x
-0.272 + 0.011x = (-0.048 + -0.004x) + -0.001x

Combine like terms: -0.004x + -0.001x = -0.005x
-0.272 + 0.011x = -0.048 + -0.005x

Solving
-0.272 + 0.011x = -0.048 + -0.005x

Solving for variable 'x'.

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

Add '0.005x' to each side of the equation.
-0.272 + 0.011x + 0.005x = -0.048 + -0.005x + 0.005x

Combine like terms: 0.011x + 0.005x = 0.016x
-0.272 + 0.016x = -0.048 + -0.005x + 0.005x

Combine like terms: -0.005x + 0.005x = 0.000
-0.272 + 0.016x = -0.048 + 0.000
-0.272 + 0.016x = -0.048

Add '0.272' to each side of the equation.
-0.272 + 0.272 + 0.016x = -0.048 + 0.272

Combine like terms: -0.272 + 0.272 = 0.000
0.000 + 0.016x = -0.048 + 0.272
0.016x = -0.048 + 0.272

Combine like terms: -0.048 + 0.272 = 0.224
0.016x = 0.224

Divide each side by '0.016'.
x = 14

Simplifying
x = 14

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