4x-5=3(-2x+1)+8

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Solution for 4x-5=3(-2x+1)+8 equation:


Simplifying
4x + -5 = 3(-2x + 1) + 8

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

Reorder the terms:
-5 + 4x = 3(1 + -2x) + 8
-5 + 4x = (1 * 3 + -2x * 3) + 8
-5 + 4x = (3 + -6x) + 8

Reorder the terms:
-5 + 4x = 3 + 8 + -6x

Combine like terms: 3 + 8 = 11
-5 + 4x = 11 + -6x

Solving
-5 + 4x = 11 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-5 + 4x + 6x = 11 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-5 + 10x = 11 + -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + 10x = 11 + 0
-5 + 10x = 11

Add '5' to each side of the equation.
-5 + 5 + 10x = 11 + 5

Combine like terms: -5 + 5 = 0
0 + 10x = 11 + 5
10x = 11 + 5

Combine like terms: 11 + 5 = 16
10x = 16

Divide each side by '10'.
x = 1.6

Simplifying
x = 1.6

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