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

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


Simplifying
-4(4 + -1x) + 5 = 3(x + -3)
(4 * -4 + -1x * -4) + 5 = 3(x + -3)
(-16 + 4x) + 5 = 3(x + -3)

Reorder the terms:
-16 + 5 + 4x = 3(x + -3)

Combine like terms: -16 + 5 = -11
-11 + 4x = 3(x + -3)

Reorder the terms:
-11 + 4x = 3(-3 + x)
-11 + 4x = (-3 * 3 + x * 3)
-11 + 4x = (-9 + 3x)

Solving
-11 + 4x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-11 + 4x + -3x = -9 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-11 + 1x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + 1x = -9 + 0
-11 + 1x = -9

Add '11' to each side of the equation.
-11 + 11 + 1x = -9 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = -9 + 11
1x = -9 + 11

Combine like terms: -9 + 11 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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