4(2-5x)-5(x-3)=2x-7

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Solution for 4(2-5x)-5(x-3)=2x-7 equation:


Simplifying
4(2 + -5x) + -5(x + -3) = 2x + -7
(2 * 4 + -5x * 4) + -5(x + -3) = 2x + -7
(8 + -20x) + -5(x + -3) = 2x + -7

Reorder the terms:
8 + -20x + -5(-3 + x) = 2x + -7
8 + -20x + (-3 * -5 + x * -5) = 2x + -7
8 + -20x + (15 + -5x) = 2x + -7

Reorder the terms:
8 + 15 + -20x + -5x = 2x + -7

Combine like terms: 8 + 15 = 23
23 + -20x + -5x = 2x + -7

Combine like terms: -20x + -5x = -25x
23 + -25x = 2x + -7

Reorder the terms:
23 + -25x = -7 + 2x

Solving
23 + -25x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
23 + -25x + -2x = -7 + 2x + -2x

Combine like terms: -25x + -2x = -27x
23 + -27x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
23 + -27x = -7 + 0
23 + -27x = -7

Add '-23' to each side of the equation.
23 + -23 + -27x = -7 + -23

Combine like terms: 23 + -23 = 0
0 + -27x = -7 + -23
-27x = -7 + -23

Combine like terms: -7 + -23 = -30
-27x = -30

Divide each side by '-27'.
x = 1.111111111

Simplifying
x = 1.111111111

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