7(3x+2)=4(8x-2)

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Solution for 7(3x+2)=4(8x-2) equation:


Simplifying
7(3x + 2) = 4(8x + -2)

Reorder the terms:
7(2 + 3x) = 4(8x + -2)
(2 * 7 + 3x * 7) = 4(8x + -2)
(14 + 21x) = 4(8x + -2)

Reorder the terms:
14 + 21x = 4(-2 + 8x)
14 + 21x = (-2 * 4 + 8x * 4)
14 + 21x = (-8 + 32x)

Solving
14 + 21x = -8 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
14 + 21x + -32x = -8 + 32x + -32x

Combine like terms: 21x + -32x = -11x
14 + -11x = -8 + 32x + -32x

Combine like terms: 32x + -32x = 0
14 + -11x = -8 + 0
14 + -11x = -8

Add '-14' to each side of the equation.
14 + -14 + -11x = -8 + -14

Combine like terms: 14 + -14 = 0
0 + -11x = -8 + -14
-11x = -8 + -14

Combine like terms: -8 + -14 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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