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

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


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

Reorder the terms:
4x + -2(-7 + 3x) = 4(2x + -7) + 8x
4x + (-7 * -2 + 3x * -2) = 4(2x + -7) + 8x
4x + (14 + -6x) = 4(2x + -7) + 8x

Reorder the terms:
14 + 4x + -6x = 4(2x + -7) + 8x

Combine like terms: 4x + -6x = -2x
14 + -2x = 4(2x + -7) + 8x

Reorder the terms:
14 + -2x = 4(-7 + 2x) + 8x
14 + -2x = (-7 * 4 + 2x * 4) + 8x
14 + -2x = (-28 + 8x) + 8x

Combine like terms: 8x + 8x = 16x
14 + -2x = -28 + 16x

Solving
14 + -2x = -28 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
14 + -2x + -16x = -28 + 16x + -16x

Combine like terms: -2x + -16x = -18x
14 + -18x = -28 + 16x + -16x

Combine like terms: 16x + -16x = 0
14 + -18x = -28 + 0
14 + -18x = -28

Add '-14' to each side of the equation.
14 + -14 + -18x = -28 + -14

Combine like terms: 14 + -14 = 0
0 + -18x = -28 + -14
-18x = -28 + -14

Combine like terms: -28 + -14 = -42
-18x = -42

Divide each side by '-18'.
x = 2.333333333

Simplifying
x = 2.333333333

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