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

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


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

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

Reorder the terms:
5 + 8x = 4(-2 + 3x) + -3
5 + 8x = (-2 * 4 + 3x * 4) + -3
5 + 8x = (-8 + 12x) + -3

Reorder the terms:
5 + 8x = -8 + -3 + 12x

Combine like terms: -8 + -3 = -11
5 + 8x = -11 + 12x

Solving
5 + 8x = -11 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
5 + 8x + -12x = -11 + 12x + -12x

Combine like terms: 8x + -12x = -4x
5 + -4x = -11 + 12x + -12x

Combine like terms: 12x + -12x = 0
5 + -4x = -11 + 0
5 + -4x = -11

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

Combine like terms: 5 + -5 = 0
0 + -4x = -11 + -5
-4x = -11 + -5

Combine like terms: -11 + -5 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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