7x-3(x+6)=2(x+5)+4

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Solution for 7x-3(x+6)=2(x+5)+4 equation:


Simplifying
7x + -3(x + 6) = 2(x + 5) + 4

Reorder the terms:
7x + -3(6 + x) = 2(x + 5) + 4
7x + (6 * -3 + x * -3) = 2(x + 5) + 4
7x + (-18 + -3x) = 2(x + 5) + 4

Reorder the terms:
-18 + 7x + -3x = 2(x + 5) + 4

Combine like terms: 7x + -3x = 4x
-18 + 4x = 2(x + 5) + 4

Reorder the terms:
-18 + 4x = 2(5 + x) + 4
-18 + 4x = (5 * 2 + x * 2) + 4
-18 + 4x = (10 + 2x) + 4

Reorder the terms:
-18 + 4x = 10 + 4 + 2x

Combine like terms: 10 + 4 = 14
-18 + 4x = 14 + 2x

Solving
-18 + 4x = 14 + 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.
-18 + 4x + -2x = 14 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-18 + 2x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 2x = 14 + 0
-18 + 2x = 14

Add '18' to each side of the equation.
-18 + 18 + 2x = 14 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 14 + 18
2x = 14 + 18

Combine like terms: 14 + 18 = 32
2x = 32

Divide each side by '2'.
x = 16

Simplifying
x = 16

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