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

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


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

Reorder the terms:
4(-3 + 4x) = 3(x + -8)
(-3 * 4 + 4x * 4) = 3(x + -8)
(-12 + 16x) = 3(x + -8)

Reorder the terms:
-12 + 16x = 3(-8 + x)
-12 + 16x = (-8 * 3 + x * 3)
-12 + 16x = (-24 + 3x)

Solving
-12 + 16x = -24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 16x + -3x = -24 + 3x + -3x

Combine like terms: 16x + -3x = 13x
-12 + 13x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 13x = -24 + 0
-12 + 13x = -24

Add '12' to each side of the equation.
-12 + 12 + 13x = -24 + 12

Combine like terms: -12 + 12 = 0
0 + 13x = -24 + 12
13x = -24 + 12

Combine like terms: -24 + 12 = -12
13x = -12

Divide each side by '13'.
x = -0.9230769231

Simplifying
x = -0.9230769231

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