4(2-x)+15=3(x-3)

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Solution for 4(2-x)+15=3(x-3) equation:


Simplifying
4(2 + -1x) + 15 = 3(x + -3)
(2 * 4 + -1x * 4) + 15 = 3(x + -3)
(8 + -4x) + 15 = 3(x + -3)

Reorder the terms:
8 + 15 + -4x = 3(x + -3)

Combine like terms: 8 + 15 = 23
23 + -4x = 3(x + -3)

Reorder the terms:
23 + -4x = 3(-3 + x)
23 + -4x = (-3 * 3 + x * 3)
23 + -4x = (-9 + 3x)

Solving
23 + -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.
23 + -4x + -3x = -9 + 3x + -3x

Combine like terms: -4x + -3x = -7x
23 + -7x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
23 + -7x = -9 + 0
23 + -7x = -9

Add '-23' to each side of the equation.
23 + -23 + -7x = -9 + -23

Combine like terms: 23 + -23 = 0
0 + -7x = -9 + -23
-7x = -9 + -23

Combine like terms: -9 + -23 = -32
-7x = -32

Divide each side by '-7'.
x = 4.571428571

Simplifying
x = 4.571428571

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