.2(x-27)+.3(x+3)=x-59

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Solution for .2(x-27)+.3(x+3)=x-59 equation:


Simplifying
0.2(x + -27) + 0.3(x + 3) = x + -59

Reorder the terms:
0.2(-27 + x) + 0.3(x + 3) = x + -59
(-27 * 0.2 + x * 0.2) + 0.3(x + 3) = x + -59
(-5.4 + 0.2x) + 0.3(x + 3) = x + -59

Reorder the terms:
-5.4 + 0.2x + 0.3(3 + x) = x + -59
-5.4 + 0.2x + (3 * 0.3 + x * 0.3) = x + -59
-5.4 + 0.2x + (0.9 + 0.3x) = x + -59

Reorder the terms:
-5.4 + 0.9 + 0.2x + 0.3x = x + -59

Combine like terms: -5.4 + 0.9 = -4.5
-4.5 + 0.2x + 0.3x = x + -59

Combine like terms: 0.2x + 0.3x = 0.5x
-4.5 + 0.5x = x + -59

Reorder the terms:
-4.5 + 0.5x = -59 + x

Solving
-4.5 + 0.5x = -59 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-4.5 + 0.5x + -1x = -59 + x + -1x

Combine like terms: 0.5x + -1x = -0.5x
-4.5 + -0.5x = -59 + x + -1x

Combine like terms: x + -1x = 0
-4.5 + -0.5x = -59 + 0
-4.5 + -0.5x = -59

Add '4.5' to each side of the equation.
-4.5 + 4.5 + -0.5x = -59 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + -0.5x = -59 + 4.5
-0.5x = -59 + 4.5

Combine like terms: -59 + 4.5 = -54.5
-0.5x = -54.5

Divide each side by '-0.5'.
x = 109

Simplifying
x = 109

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