4(x-7)+14=2(x-4)

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Solution for 4(x-7)+14=2(x-4) equation:


Simplifying
4(x + -7) + 14 = 2(x + -4)

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

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

Combine like terms: -28 + 14 = -14
-14 + 4x = 2(x + -4)

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

Solving
-14 + 4x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-14 + 4x + -2x = -8 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-14 + 2x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 2x = -8 + 0
-14 + 2x = -8

Add '14' to each side of the equation.
-14 + 14 + 2x = -8 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = -8 + 14
2x = -8 + 14

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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