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

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


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

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

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

Combine like terms: 3x + 4x = 7x
-32 + 7x = 2x + 3

Reorder the terms:
-32 + 7x = 3 + 2x

Solving
-32 + 7x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-32 + 7x + -2x = 3 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-32 + 5x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-32 + 5x = 3 + 0
-32 + 5x = 3

Add '32' to each side of the equation.
-32 + 32 + 5x = 3 + 32

Combine like terms: -32 + 32 = 0
0 + 5x = 3 + 32
5x = 3 + 32

Combine like terms: 3 + 32 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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