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

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


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

Reorder the terms:
7(7 + 3x) = 4(2x + -3)
(7 * 7 + 3x * 7) = 4(2x + -3)
(49 + 21x) = 4(2x + -3)

Reorder the terms:
49 + 21x = 4(-3 + 2x)
49 + 21x = (-3 * 4 + 2x * 4)
49 + 21x = (-12 + 8x)

Solving
49 + 21x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
49 + 21x + -8x = -12 + 8x + -8x

Combine like terms: 21x + -8x = 13x
49 + 13x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
49 + 13x = -12 + 0
49 + 13x = -12

Add '-49' to each side of the equation.
49 + -49 + 13x = -12 + -49

Combine like terms: 49 + -49 = 0
0 + 13x = -12 + -49
13x = -12 + -49

Combine like terms: -12 + -49 = -61
13x = -61

Divide each side by '13'.
x = -4.692307692

Simplifying
x = -4.692307692

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