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

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


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

Reorder the terms:
2(-8 + 3x) = -7x + 4
(-8 * 2 + 3x * 2) = -7x + 4
(-16 + 6x) = -7x + 4

Reorder the terms:
-16 + 6x = 4 + -7x

Solving
-16 + 6x = 4 + -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.
-16 + 6x + 7x = 4 + -7x + 7x

Combine like terms: 6x + 7x = 13x
-16 + 13x = 4 + -7x + 7x

Combine like terms: -7x + 7x = 0
-16 + 13x = 4 + 0
-16 + 13x = 4

Add '16' to each side of the equation.
-16 + 16 + 13x = 4 + 16

Combine like terms: -16 + 16 = 0
0 + 13x = 4 + 16
13x = 4 + 16

Combine like terms: 4 + 16 = 20
13x = 20

Divide each side by '13'.
x = 1.538461538

Simplifying
x = 1.538461538

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