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

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


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

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

Reorder the terms:
4 + 5x = 5(-3 + x) + 4x + 3
4 + 5x = (-3 * 5 + x * 5) + 4x + 3
4 + 5x = (-15 + 5x) + 4x + 3

Reorder the terms:
4 + 5x = -15 + 3 + 5x + 4x

Combine like terms: -15 + 3 = -12
4 + 5x = -12 + 5x + 4x

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

Solving
4 + 5x = -12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
4 + 5x + -9x = -12 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
4 + -4x = -12 + 0
4 + -4x = -12

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

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

Combine like terms: -12 + -4 = -16
-4x = -16

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

Simplifying
x = 4

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