4(2x+3)=7(3x-15)

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Solution for 4(2x+3)=7(3x-15) equation:


Simplifying
4(2x + 3) = 7(3x + -15)

Reorder the terms:
4(3 + 2x) = 7(3x + -15)
(3 * 4 + 2x * 4) = 7(3x + -15)
(12 + 8x) = 7(3x + -15)

Reorder the terms:
12 + 8x = 7(-15 + 3x)
12 + 8x = (-15 * 7 + 3x * 7)
12 + 8x = (-105 + 21x)

Solving
12 + 8x = -105 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
12 + 8x + -21x = -105 + 21x + -21x

Combine like terms: 8x + -21x = -13x
12 + -13x = -105 + 21x + -21x

Combine like terms: 21x + -21x = 0
12 + -13x = -105 + 0
12 + -13x = -105

Add '-12' to each side of the equation.
12 + -12 + -13x = -105 + -12

Combine like terms: 12 + -12 = 0
0 + -13x = -105 + -12
-13x = -105 + -12

Combine like terms: -105 + -12 = -117
-13x = -117

Divide each side by '-13'.
x = 9

Simplifying
x = 9

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