3(2-x)-5=4(x+3)

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Solution for 3(2-x)-5=4(x+3) equation:


Simplifying
3(2 + -1x) + -5 = 4(x + 3)
(2 * 3 + -1x * 3) + -5 = 4(x + 3)
(6 + -3x) + -5 = 4(x + 3)

Reorder the terms:
6 + -5 + -3x = 4(x + 3)

Combine like terms: 6 + -5 = 1
1 + -3x = 4(x + 3)

Reorder the terms:
1 + -3x = 4(3 + x)
1 + -3x = (3 * 4 + x * 4)
1 + -3x = (12 + 4x)

Solving
1 + -3x = 12 + 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.
1 + -3x + -4x = 12 + 4x + -4x

Combine like terms: -3x + -4x = -7x
1 + -7x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -7x = 12 + 0
1 + -7x = 12

Add '-1' to each side of the equation.
1 + -1 + -7x = 12 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = 12 + -1
-7x = 12 + -1

Combine like terms: 12 + -1 = 11
-7x = 11

Divide each side by '-7'.
x = -1.571428571

Simplifying
x = -1.571428571

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