3x+2(x+7)=4-3(1-2x)

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Solution for 3x+2(x+7)=4-3(1-2x) equation: 


Simplifying
3x + 2(x + 7) = 4 + -3(1 + -2x)

Reorder the terms:
3x + 2(7 + x) = 4 + -3(1 + -2x)
3x + (7 * 2 + x * 2) = 4 + -3(1 + -2x)
3x + (14 + 2x) = 4 + -3(1 + -2x)

Reorder the terms:
14 + 3x + 2x = 4 + -3(1 + -2x)

Combine like terms: 3x + 2x = 5x
14 + 5x = 4 + -3(1 + -2x)
14 + 5x = 4 + (1 * -3 + -2x * -3)
14 + 5x = 4 + (-3 + 6x)

Combine like terms: 4 + -3 = 1
14 + 5x = 1 + 6x

Solving
14 + 5x = 1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
14 + 5x + -6x = 1 + 6x + -6x

Combine like terms: 5x + -6x = -1x
14 + -1x = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -1x = 1 + 0
14 + -1x = 1

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

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

Combine like terms: 1 + -14 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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