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 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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