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

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


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

Reorder the terms:
4(-8 + x) + -3 = 2 + -3(2x + 1)
(-8 * 4 + x * 4) + -3 = 2 + -3(2x + 1)
(-32 + 4x) + -3 = 2 + -3(2x + 1)

Reorder the terms:
-32 + -3 + 4x = 2 + -3(2x + 1)

Combine like terms: -32 + -3 = -35
-35 + 4x = 2 + -3(2x + 1)

Reorder the terms:
-35 + 4x = 2 + -3(1 + 2x)
-35 + 4x = 2 + (1 * -3 + 2x * -3)
-35 + 4x = 2 + (-3 + -6x)

Combine like terms: 2 + -3 = -1
-35 + 4x = -1 + -6x

Solving
-35 + 4x = -1 + -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.
-35 + 4x + 6x = -1 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-35 + 10x = -1 + -6x + 6x

Combine like terms: -6x + 6x = 0
-35 + 10x = -1 + 0
-35 + 10x = -1

Add '35' to each side of the equation.
-35 + 35 + 10x = -1 + 35

Combine like terms: -35 + 35 = 0
0 + 10x = -1 + 35
10x = -1 + 35

Combine like terms: -1 + 35 = 34
10x = 34

Divide each side by '10'.
x = 3.4

Simplifying
x = 3.4

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