2(x-7)=4(3x+1)

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Solution for 2(x-7)=4(3x+1) equation:


Simplifying
2(x + -7) = 4(3x + 1)

Reorder the terms:
2(-7 + x) = 4(3x + 1)
(-7 * 2 + x * 2) = 4(3x + 1)
(-14 + 2x) = 4(3x + 1)

Reorder the terms:
-14 + 2x = 4(1 + 3x)
-14 + 2x = (1 * 4 + 3x * 4)
-14 + 2x = (4 + 12x)

Solving
-14 + 2x = 4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-14 + 2x + -12x = 4 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-14 + -10x = 4 + 12x + -12x

Combine like terms: 12x + -12x = 0
-14 + -10x = 4 + 0
-14 + -10x = 4

Add '14' to each side of the equation.
-14 + 14 + -10x = 4 + 14

Combine like terms: -14 + 14 = 0
0 + -10x = 4 + 14
-10x = 4 + 14

Combine like terms: 4 + 14 = 18
-10x = 18

Divide each side by '-10'.
x = -1.8

Simplifying
x = -1.8

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