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

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


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

Reorder the terms:
-2(-7 + 2x) + 5x = 7(x + 4)
(-7 * -2 + 2x * -2) + 5x = 7(x + 4)
(14 + -4x) + 5x = 7(x + 4)

Combine like terms: -4x + 5x = 1x
14 + 1x = 7(x + 4)

Reorder the terms:
14 + 1x = 7(4 + x)
14 + 1x = (4 * 7 + x * 7)
14 + 1x = (28 + 7x)

Solving
14 + 1x = 28 + 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.
14 + 1x + -7x = 28 + 7x + -7x

Combine like terms: 1x + -7x = -6x
14 + -6x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
14 + -6x = 28 + 0
14 + -6x = 28

Add '-14' to each side of the equation.
14 + -14 + -6x = 28 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = 28 + -14
-6x = 28 + -14

Combine like terms: 28 + -14 = 14
-6x = 14

Divide each side by '-6'.
x = -2.333333333

Simplifying
x = -2.333333333

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