0.013(x+4)-0.010(2x-8)+0.006=0.016(x-11)-0.042(x+7)

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Solution for 0.013(x+4)-0.010(2x-8)+0.006=0.016(x-11)-0.042(x+7) equation:


Simplifying
0.013(x + 4) + -0.010(2x + -8) + 0.006 = 0.016(x + -11) + -0.042(x + 7)

Reorder the terms:
0.013(4 + x) + -0.010(2x + -8) + 0.006 = 0.016(x + -11) + -0.042(x + 7)
(4 * 0.013 + x * 0.013) + -0.010(2x + -8) + 0.006 = 0.016(x + -11) + -0.042(x + 7)
(0.052 + 0.013x) + -0.010(2x + -8) + 0.006 = 0.016(x + -11) + -0.042(x + 7)

Reorder the terms:
0.052 + 0.013x + -0.010(-8 + 2x) + 0.006 = 0.016(x + -11) + -0.042(x + 7)
0.052 + 0.013x + (-8 * -0.010 + 2x * -0.010) + 0.006 = 0.016(x + -11) + -0.042(x + 7)
0.052 + 0.013x + (0.08 + -0.02x) + 0.006 = 0.016(x + -11) + -0.042(x + 7)

Reorder the terms:
0.052 + 0.08 + 0.006 + 0.013x + -0.02x = 0.016(x + -11) + -0.042(x + 7)

Combine like terms: 0.052 + 0.08 = 0.132
0.132 + 0.006 + 0.013x + -0.02x = 0.016(x + -11) + -0.042(x + 7)

Combine like terms: 0.132 + 0.006 = 0.138
0.138 + 0.013x + -0.02x = 0.016(x + -11) + -0.042(x + 7)

Combine like terms: 0.013x + -0.02x = -0.007x
0.138 + -0.007x = 0.016(x + -11) + -0.042(x + 7)

Reorder the terms:
0.138 + -0.007x = 0.016(-11 + x) + -0.042(x + 7)
0.138 + -0.007x = (-11 * 0.016 + x * 0.016) + -0.042(x + 7)
0.138 + -0.007x = (-0.176 + 0.016x) + -0.042(x + 7)

Reorder the terms:
0.138 + -0.007x = -0.176 + 0.016x + -0.042(7 + x)
0.138 + -0.007x = -0.176 + 0.016x + (7 * -0.042 + x * -0.042)
0.138 + -0.007x = -0.176 + 0.016x + (-0.294 + -0.042x)

Reorder the terms:
0.138 + -0.007x = -0.176 + -0.294 + 0.016x + -0.042x

Combine like terms: -0.176 + -0.294 = -0.47
0.138 + -0.007x = -0.47 + 0.016x + -0.042x

Combine like terms: 0.016x + -0.042x = -0.026x
0.138 + -0.007x = -0.47 + -0.026x

Solving
0.138 + -0.007x = -0.47 + -0.026x

Solving for variable 'x'.

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

Add '0.026x' to each side of the equation.
0.138 + -0.007x + 0.026x = -0.47 + -0.026x + 0.026x

Combine like terms: -0.007x + 0.026x = 0.019x
0.138 + 0.019x = -0.47 + -0.026x + 0.026x

Combine like terms: -0.026x + 0.026x = 0.000
0.138 + 0.019x = -0.47 + 0.000
0.138 + 0.019x = -0.47

Add '-0.138' to each side of the equation.
0.138 + -0.138 + 0.019x = -0.47 + -0.138

Combine like terms: 0.138 + -0.138 = 0.000
0.000 + 0.019x = -0.47 + -0.138
0.019x = -0.47 + -0.138

Combine like terms: -0.47 + -0.138 = -0.608
0.019x = -0.608

Divide each side by '0.019'.
x = -32

Simplifying
x = -32

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