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

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


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

Reorder the terms:
-2(-7 + 3x) + 5x = 3(x + 4)
(-7 * -2 + 3x * -2) + 5x = 3(x + 4)
(14 + -6x) + 5x = 3(x + 4)

Combine like terms: -6x + 5x = -1x
14 + -1x = 3(x + 4)

Reorder the terms:
14 + -1x = 3(4 + x)
14 + -1x = (4 * 3 + x * 3)
14 + -1x = (12 + 3x)

Solving
14 + -1x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + -1x + -3x = 12 + 3x + -3x

Combine like terms: -1x + -3x = -4x
14 + -4x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -4x = 12 + 0
14 + -4x = 12

Add '-14' to each side of the equation.
14 + -14 + -4x = 12 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = 12 + -14
-4x = 12 + -14

Combine like terms: 12 + -14 = -2
-4x = -2

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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