4(x+3)=5x-3

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


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

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

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

Solving
12 + 4x = -3 + 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 = -3 + 5x + -5x

Combine like terms: 4x + -5x = -1x
12 + -1x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -1x = -3 + 0
12 + -1x = -3

Add '-12' to each side of the equation.
12 + -12 + -1x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -3 + -12
-1x = -3 + -12

Combine like terms: -3 + -12 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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