3(5-4x)=7x+2

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Solution for 3(5-4x)=7x+2 equation:


Simplifying
3(5 + -4x) = 7x + 2
(5 * 3 + -4x * 3) = 7x + 2
(15 + -12x) = 7x + 2

Reorder the terms:
15 + -12x = 2 + 7x

Solving
15 + -12x = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
15 + -12x + -7x = 2 + 7x + -7x

Combine like terms: -12x + -7x = -19x
15 + -19x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + -19x = 2 + 0
15 + -19x = 2

Add '-15' to each side of the equation.
15 + -15 + -19x = 2 + -15

Combine like terms: 15 + -15 = 0
0 + -19x = 2 + -15
-19x = 2 + -15

Combine like terms: 2 + -15 = -13
-19x = -13

Divide each side by '-19'.
x = 0.6842105263

Simplifying
x = 0.6842105263

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