4x-14=3(x-7)

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Solution for 4x-14=3(x-7) equation:


Simplifying
4x + -14 = 3(x + -7)

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

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

Solving
-14 + 4x = -21 + 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 + 4x + -3x = -21 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-14 + 1x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 1x = -21 + 0
-14 + 1x = -21

Add '14' to each side of the equation.
-14 + 14 + 1x = -21 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = -21 + 14
1x = -21 + 14

Combine like terms: -21 + 14 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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