.07(x-40)-.05(x+30)=-1.7

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Solution for .07(x-40)-.05(x+30)=-1.7 equation:


Simplifying
0.07(x + -40) + -0.05(x + 30) = -1.7

Reorder the terms:
0.07(-40 + x) + -0.05(x + 30) = -1.7
(-40 * 0.07 + x * 0.07) + -0.05(x + 30) = -1.7
(-2.8 + 0.07x) + -0.05(x + 30) = -1.7

Reorder the terms:
-2.8 + 0.07x + -0.05(30 + x) = -1.7
-2.8 + 0.07x + (30 * -0.05 + x * -0.05) = -1.7
-2.8 + 0.07x + (-1.5 + -0.05x) = -1.7

Reorder the terms:
-2.8 + -1.5 + 0.07x + -0.05x = -1.7

Combine like terms: -2.8 + -1.5 = -4.3
-4.3 + 0.07x + -0.05x = -1.7

Combine like terms: 0.07x + -0.05x = 0.02x
-4.3 + 0.02x = -1.7

Solving
-4.3 + 0.02x = -1.7

Solving for variable 'x'.

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

Add '4.3' to each side of the equation.
-4.3 + 4.3 + 0.02x = -1.7 + 4.3

Combine like terms: -4.3 + 4.3 = 0.0
0.0 + 0.02x = -1.7 + 4.3
0.02x = -1.7 + 4.3

Combine like terms: -1.7 + 4.3 = 2.6
0.02x = 2.6

Divide each side by '0.02'.
x = 130

Simplifying
x = 130

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