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

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


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

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

Combine like terms: 2x + 8x = 10x
-5 + 10x = 5(4x + -2) + 3

Reorder the terms:
-5 + 10x = 5(-2 + 4x) + 3
-5 + 10x = (-2 * 5 + 4x * 5) + 3
-5 + 10x = (-10 + 20x) + 3

Reorder the terms:
-5 + 10x = -10 + 3 + 20x

Combine like terms: -10 + 3 = -7
-5 + 10x = -7 + 20x

Solving
-5 + 10x = -7 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-5 + 10x + -20x = -7 + 20x + -20x

Combine like terms: 10x + -20x = -10x
-5 + -10x = -7 + 20x + -20x

Combine like terms: 20x + -20x = 0
-5 + -10x = -7 + 0
-5 + -10x = -7

Add '5' to each side of the equation.
-5 + 5 + -10x = -7 + 5

Combine like terms: -5 + 5 = 0
0 + -10x = -7 + 5
-10x = -7 + 5

Combine like terms: -7 + 5 = -2
-10x = -2

Divide each side by '-10'.
x = 0.2

Simplifying
x = 0.2

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