0.7(0.6x-0.5)-0.5(0.4x-3)=0.05

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Solution for 0.7(0.6x-0.5)-0.5(0.4x-3)=0.05 equation:


Simplifying
0.7(0.6x + -0.5) + -0.5(0.4x + -3) = 0.05

Reorder the terms:
0.7(-0.5 + 0.6x) + -0.5(0.4x + -3) = 0.05
(-0.5 * 0.7 + 0.6x * 0.7) + -0.5(0.4x + -3) = 0.05
(-0.35 + 0.42x) + -0.5(0.4x + -3) = 0.05

Reorder the terms:
-0.35 + 0.42x + -0.5(-3 + 0.4x) = 0.05
-0.35 + 0.42x + (-3 * -0.5 + 0.4x * -0.5) = 0.05
-0.35 + 0.42x + (1.5 + -0.2x) = 0.05

Reorder the terms:
-0.35 + 1.5 + 0.42x + -0.2x = 0.05

Combine like terms: -0.35 + 1.5 = 1.15
1.15 + 0.42x + -0.2x = 0.05

Combine like terms: 0.42x + -0.2x = 0.22x
1.15 + 0.22x = 0.05

Solving
1.15 + 0.22x = 0.05

Solving for variable 'x'.

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

Add '-1.15' to each side of the equation.
1.15 + -1.15 + 0.22x = 0.05 + -1.15

Combine like terms: 1.15 + -1.15 = 0.00
0.00 + 0.22x = 0.05 + -1.15
0.22x = 0.05 + -1.15

Combine like terms: 0.05 + -1.15 = -1.1
0.22x = -1.1

Divide each side by '0.22'.
x = -5

Simplifying
x = -5

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