5-8(x+3)=2(-5x+4)

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Solution for 5-8(x+3)=2(-5x+4) equation:


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

Reorder the terms:
5 + -8(3 + x) = 2(-5x + 4)
5 + (3 * -8 + x * -8) = 2(-5x + 4)
5 + (-24 + -8x) = 2(-5x + 4)

Combine like terms: 5 + -24 = -19
-19 + -8x = 2(-5x + 4)

Reorder the terms:
-19 + -8x = 2(4 + -5x)
-19 + -8x = (4 * 2 + -5x * 2)
-19 + -8x = (8 + -10x)

Solving
-19 + -8x = 8 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-19 + -8x + 10x = 8 + -10x + 10x

Combine like terms: -8x + 10x = 2x
-19 + 2x = 8 + -10x + 10x

Combine like terms: -10x + 10x = 0
-19 + 2x = 8 + 0
-19 + 2x = 8

Add '19' to each side of the equation.
-19 + 19 + 2x = 8 + 19

Combine like terms: -19 + 19 = 0
0 + 2x = 8 + 19
2x = 8 + 19

Combine like terms: 8 + 19 = 27
2x = 27

Divide each side by '2'.
x = 13.5

Simplifying
x = 13.5

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