4(x-3)=5x+2

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


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

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

Reorder the terms:
-12 + 4x = 2 + 5x

Solving
-12 + 4x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + 4x + -5x = 2 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-12 + -1x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -1x = 2 + 0
-12 + -1x = 2

Add '12' to each side of the equation.
-12 + 12 + -1x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 2 + 12
-1x = 2 + 12

Combine like terms: 2 + 12 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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