3(x-3)+5=8-(4x-3)

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Solution for 3(x-3)+5=8-(4x-3) equation:


Simplifying
3(x + -3) + 5 = 8 + -1(4x + -3)

Reorder the terms:
3(-3 + x) + 5 = 8 + -1(4x + -3)
(-3 * 3 + x * 3) + 5 = 8 + -1(4x + -3)
(-9 + 3x) + 5 = 8 + -1(4x + -3)

Reorder the terms:
-9 + 5 + 3x = 8 + -1(4x + -3)

Combine like terms: -9 + 5 = -4
-4 + 3x = 8 + -1(4x + -3)

Reorder the terms:
-4 + 3x = 8 + -1(-3 + 4x)
-4 + 3x = 8 + (-3 * -1 + 4x * -1)
-4 + 3x = 8 + (3 + -4x)

Combine like terms: 8 + 3 = 11
-4 + 3x = 11 + -4x

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

Solving for variable 'x'.

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

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

Combine like terms: 3x + 4x = 7x
-4 + 7x = 11 + -4x + 4x

Combine like terms: -4x + 4x = 0
-4 + 7x = 11 + 0
-4 + 7x = 11

Add '4' to each side of the equation.
-4 + 4 + 7x = 11 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 11 + 4
7x = 11 + 4

Combine like terms: 11 + 4 = 15
7x = 15

Divide each side by '7'.
x = 2.142857143

Simplifying
x = 2.142857143

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