3(4x+3)=4(x+4)-13

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Solution for 3(4x+3)=4(x+4)-13 equation:


Simplifying
3(4x + 3) = 4(x + 4) + -13

Reorder the terms:
3(3 + 4x) = 4(x + 4) + -13
(3 * 3 + 4x * 3) = 4(x + 4) + -13
(9 + 12x) = 4(x + 4) + -13

Reorder the terms:
9 + 12x = 4(4 + x) + -13
9 + 12x = (4 * 4 + x * 4) + -13
9 + 12x = (16 + 4x) + -13

Reorder the terms:
9 + 12x = 16 + -13 + 4x

Combine like terms: 16 + -13 = 3
9 + 12x = 3 + 4x

Solving
9 + 12x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 12x + -4x = 3 + 4x + -4x

Combine like terms: 12x + -4x = 8x
9 + 8x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 8x = 3 + 0
9 + 8x = 3

Add '-9' to each side of the equation.
9 + -9 + 8x = 3 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = 3 + -9
8x = 3 + -9

Combine like terms: 3 + -9 = -6
8x = -6

Divide each side by '8'.
x = -0.75

Simplifying
x = -0.75

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