5.58+7.1x=-0.4(1+2x)-6.3x

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Solution for 5.58+7.1x=-0.4(1+2x)-6.3x equation:


Simplifying
5.58 + 7.1x = -0.4(1 + 2x) + -6.3x
5.58 + 7.1x = (1 * -0.4 + 2x * -0.4) + -6.3x
5.58 + 7.1x = (-0.4 + -0.8x) + -6.3x

Combine like terms: -0.8x + -6.3x = -7.1x
5.58 + 7.1x = -0.4 + -7.1x

Solving
5.58 + 7.1x = -0.4 + -7.1x

Solving for variable 'x'.

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

Add '7.1x' to each side of the equation.
5.58 + 7.1x + 7.1x = -0.4 + -7.1x + 7.1x

Combine like terms: 7.1x + 7.1x = 14.2x
5.58 + 14.2x = -0.4 + -7.1x + 7.1x

Combine like terms: -7.1x + 7.1x = 0.0
5.58 + 14.2x = -0.4 + 0.0
5.58 + 14.2x = -0.4

Add '-5.58' to each side of the equation.
5.58 + -5.58 + 14.2x = -0.4 + -5.58

Combine like terms: 5.58 + -5.58 = 0.00
0.00 + 14.2x = -0.4 + -5.58
14.2x = -0.4 + -5.58

Combine like terms: -0.4 + -5.58 = -5.98
14.2x = -5.98

Divide each side by '14.2'.
x = -0.4211267606

Simplifying
x = -0.4211267606

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