3(x-4)=5(2x+1)+4

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Solution for 3(x-4)=5(2x+1)+4 equation:


Simplifying
3(x + -4) = 5(2x + 1) + 4

Reorder the terms:
3(-4 + x) = 5(2x + 1) + 4
(-4 * 3 + x * 3) = 5(2x + 1) + 4
(-12 + 3x) = 5(2x + 1) + 4

Reorder the terms:
-12 + 3x = 5(1 + 2x) + 4
-12 + 3x = (1 * 5 + 2x * 5) + 4
-12 + 3x = (5 + 10x) + 4

Reorder the terms:
-12 + 3x = 5 + 4 + 10x

Combine like terms: 5 + 4 = 9
-12 + 3x = 9 + 10x

Solving
-12 + 3x = 9 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-12 + 3x + -10x = 9 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-12 + -7x = 9 + 10x + -10x

Combine like terms: 10x + -10x = 0
-12 + -7x = 9 + 0
-12 + -7x = 9

Add '12' to each side of the equation.
-12 + 12 + -7x = 9 + 12

Combine like terms: -12 + 12 = 0
0 + -7x = 9 + 12
-7x = 9 + 12

Combine like terms: 9 + 12 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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