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

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


Simplifying
5 + -3(2 + -1x) = 4(2x + 5)
5 + (2 * -3 + -1x * -3) = 4(2x + 5)
5 + (-6 + 3x) = 4(2x + 5)

Combine like terms: 5 + -6 = -1
-1 + 3x = 4(2x + 5)

Reorder the terms:
-1 + 3x = 4(5 + 2x)
-1 + 3x = (5 * 4 + 2x * 4)
-1 + 3x = (20 + 8x)

Solving
-1 + 3x = 20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-1 + 3x + -8x = 20 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-1 + -5x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -5x = 20 + 0
-1 + -5x = 20

Add '1' to each side of the equation.
-1 + 1 + -5x = 20 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = 20 + 1
-5x = 20 + 1

Combine like terms: 20 + 1 = 21
-5x = 21

Divide each side by '-5'.
x = -4.2

Simplifying
x = -4.2

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