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

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


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

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

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

Combine like terms: 4x + -6x = -2x
14 + -2x = 2(4 + 3x) + 2
14 + -2x = (4 * 2 + 3x * 2) + 2
14 + -2x = (8 + 6x) + 2

Reorder the terms:
14 + -2x = 8 + 2 + 6x

Combine like terms: 8 + 2 = 10
14 + -2x = 10 + 6x

Solving
14 + -2x = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
14 + -2x + -6x = 10 + 6x + -6x

Combine like terms: -2x + -6x = -8x
14 + -8x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -8x = 10 + 0
14 + -8x = 10

Add '-14' to each side of the equation.
14 + -14 + -8x = 10 + -14

Combine like terms: 14 + -14 = 0
0 + -8x = 10 + -14
-8x = 10 + -14

Combine like terms: 10 + -14 = -4
-8x = -4

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5

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