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

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


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

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

Combine like terms: -2x + 4x = 2x
-14 + 2x = 3(x + -7) + 4

Reorder the terms:
-14 + 2x = 3(-7 + x) + 4
-14 + 2x = (-7 * 3 + x * 3) + 4
-14 + 2x = (-21 + 3x) + 4

Reorder the terms:
-14 + 2x = -21 + 4 + 3x

Combine like terms: -21 + 4 = -17
-14 + 2x = -17 + 3x

Solving
-14 + 2x = -17 + 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 + 2x + -3x = -17 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-14 + -1x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + -1x = -17 + 0
-14 + -1x = -17

Add '14' to each side of the equation.
-14 + 14 + -1x = -17 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = -17 + 14
-1x = -17 + 14

Combine like terms: -17 + 14 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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