5(2x-3)=3+8x-11

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Solution for 5(2x-3)=3+8x-11 equation:


Simplifying
5(2x + -3) = 3 + 8x + -11

Reorder the terms:
5(-3 + 2x) = 3 + 8x + -11
(-3 * 5 + 2x * 5) = 3 + 8x + -11
(-15 + 10x) = 3 + 8x + -11

Reorder the terms:
-15 + 10x = 3 + -11 + 8x

Combine like terms: 3 + -11 = -8
-15 + 10x = -8 + 8x

Solving
-15 + 10x = -8 + 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.
-15 + 10x + -8x = -8 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-15 + 2x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + 2x = -8 + 0
-15 + 2x = -8

Add '15' to each side of the equation.
-15 + 15 + 2x = -8 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = -8 + 15
2x = -8 + 15

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

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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