5+3(2x+7)=3x+12+4x

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Solution for 5+3(2x+7)=3x+12+4x equation:


Simplifying
5 + 3(2x + 7) = 3x + 12 + 4x

Reorder the terms:
5 + 3(7 + 2x) = 3x + 12 + 4x
5 + (7 * 3 + 2x * 3) = 3x + 12 + 4x
5 + (21 + 6x) = 3x + 12 + 4x

Combine like terms: 5 + 21 = 26
26 + 6x = 3x + 12 + 4x

Reorder the terms:
26 + 6x = 12 + 3x + 4x

Combine like terms: 3x + 4x = 7x
26 + 6x = 12 + 7x

Solving
26 + 6x = 12 + 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.
26 + 6x + -7x = 12 + 7x + -7x

Combine like terms: 6x + -7x = -1x
26 + -1x = 12 + 7x + -7x

Combine like terms: 7x + -7x = 0
26 + -1x = 12 + 0
26 + -1x = 12

Add '-26' to each side of the equation.
26 + -26 + -1x = 12 + -26

Combine like terms: 26 + -26 = 0
0 + -1x = 12 + -26
-1x = 12 + -26

Combine like terms: 12 + -26 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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