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

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


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

Reorder the terms:
4(7 + x) + 3(x + 14) = 14
(7 * 4 + x * 4) + 3(x + 14) = 14
(28 + 4x) + 3(x + 14) = 14

Reorder the terms:
28 + 4x + 3(14 + x) = 14
28 + 4x + (14 * 3 + x * 3) = 14
28 + 4x + (42 + 3x) = 14

Reorder the terms:
28 + 42 + 4x + 3x = 14

Combine like terms: 28 + 42 = 70
70 + 4x + 3x = 14

Combine like terms: 4x + 3x = 7x
70 + 7x = 14

Solving
70 + 7x = 14

Solving for variable 'x'.

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

Add '-70' to each side of the equation.
70 + -70 + 7x = 14 + -70

Combine like terms: 70 + -70 = 0
0 + 7x = 14 + -70
7x = 14 + -70

Combine like terms: 14 + -70 = -56
7x = -56

Divide each side by '7'.
x = -8

Simplifying
x = -8

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