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

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


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

Reorder the terms:
4 + -3(1 + 4x) = 2x + -3(3x + 8)
4 + (1 * -3 + 4x * -3) = 2x + -3(3x + 8)
4 + (-3 + -12x) = 2x + -3(3x + 8)

Combine like terms: 4 + -3 = 1
1 + -12x = 2x + -3(3x + 8)

Reorder the terms:
1 + -12x = 2x + -3(8 + 3x)
1 + -12x = 2x + (8 * -3 + 3x * -3)
1 + -12x = 2x + (-24 + -9x)

Reorder the terms:
1 + -12x = -24 + 2x + -9x

Combine like terms: 2x + -9x = -7x
1 + -12x = -24 + -7x

Solving
1 + -12x = -24 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
1 + -12x + 7x = -24 + -7x + 7x

Combine like terms: -12x + 7x = -5x
1 + -5x = -24 + -7x + 7x

Combine like terms: -7x + 7x = 0
1 + -5x = -24 + 0
1 + -5x = -24

Add '-1' to each side of the equation.
1 + -1 + -5x = -24 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = -24 + -1
-5x = -24 + -1

Combine like terms: -24 + -1 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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