3(5x+6)=4(2-x)

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Solution for 3(5x+6)=4(2-x) equation:


Simplifying
3(5x + 6) = 4(2 + -1x)

Reorder the terms:
3(6 + 5x) = 4(2 + -1x)
(6 * 3 + 5x * 3) = 4(2 + -1x)
(18 + 15x) = 4(2 + -1x)
18 + 15x = (2 * 4 + -1x * 4)
18 + 15x = (8 + -4x)

Solving
18 + 15x = 8 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
18 + 15x + 4x = 8 + -4x + 4x

Combine like terms: 15x + 4x = 19x
18 + 19x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
18 + 19x = 8 + 0
18 + 19x = 8

Add '-18' to each side of the equation.
18 + -18 + 19x = 8 + -18

Combine like terms: 18 + -18 = 0
0 + 19x = 8 + -18
19x = 8 + -18

Combine like terms: 8 + -18 = -10
19x = -10

Divide each side by '19'.
x = -0.5263157895

Simplifying
x = -0.5263157895

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