4(x+3)-14=7(x-2)

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Solution for 4(x+3)-14=7(x-2) equation:


Simplifying
4(x + 3) + -14 = 7(x + -2)

Reorder the terms:
4(3 + x) + -14 = 7(x + -2)
(3 * 4 + x * 4) + -14 = 7(x + -2)
(12 + 4x) + -14 = 7(x + -2)

Reorder the terms:
12 + -14 + 4x = 7(x + -2)

Combine like terms: 12 + -14 = -2
-2 + 4x = 7(x + -2)

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

Solving
-2 + 4x = -14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-2 + 4x + -7x = -14 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-2 + -3x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + -3x = -14 + 0
-2 + -3x = -14

Add '2' to each side of the equation.
-2 + 2 + -3x = -14 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = -14 + 2
-3x = -14 + 2

Combine like terms: -14 + 2 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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