5(x-3)-4=-3(-4x+7)-3x

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Solution for 5(x-3)-4=-3(-4x+7)-3x equation:


Simplifying
5(x + -3) + -4 = -3(-4x + 7) + -3x

Reorder the terms:
5(-3 + x) + -4 = -3(-4x + 7) + -3x
(-3 * 5 + x * 5) + -4 = -3(-4x + 7) + -3x
(-15 + 5x) + -4 = -3(-4x + 7) + -3x

Reorder the terms:
-15 + -4 + 5x = -3(-4x + 7) + -3x

Combine like terms: -15 + -4 = -19
-19 + 5x = -3(-4x + 7) + -3x

Reorder the terms:
-19 + 5x = -3(7 + -4x) + -3x
-19 + 5x = (7 * -3 + -4x * -3) + -3x
-19 + 5x = (-21 + 12x) + -3x

Combine like terms: 12x + -3x = 9x
-19 + 5x = -21 + 9x

Solving
-19 + 5x = -21 + 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.
-19 + 5x + -9x = -21 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-19 + -4x = -21 + 9x + -9x

Combine like terms: 9x + -9x = 0
-19 + -4x = -21 + 0
-19 + -4x = -21

Add '19' to each side of the equation.
-19 + 19 + -4x = -21 + 19

Combine like terms: -19 + 19 = 0
0 + -4x = -21 + 19
-4x = -21 + 19

Combine like terms: -21 + 19 = -2
-4x = -2

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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