3*(x-7)-2*(2*x-29)=x+5

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Solution for 3*(x-7)-2*(2*x-29)=x+5 equation: 


Simplifying
3(x + -7) + -2(2x + -29) = x + 5

Reorder the terms:
3(-7 + x) + -2(2x + -29) = x + 5
(-7 * 3 + x * 3) + -2(2x + -29) = x + 5
(-21 + 3x) + -2(2x + -29) = x + 5

Reorder the terms:
-21 + 3x + -2(-29 + 2x) = x + 5
-21 + 3x + (-29 * -2 + 2x * -2) = x + 5
-21 + 3x + (58 + -4x) = x + 5

Reorder the terms:
-21 + 58 + 3x + -4x = x + 5

Combine like terms: -21 + 58 = 37
37 + 3x + -4x = x + 5

Combine like terms: 3x + -4x = -1x
37 + -1x = x + 5

Reorder the terms:
37 + -1x = 5 + x

Solving
37 + -1x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
37 + -1x + -1x = 5 + x + -1x

Combine like terms: -1x + -1x = -2x
37 + -2x = 5 + x + -1x

Combine like terms: x + -1x = 0
37 + -2x = 5 + 0
37 + -2x = 5

Add '-37' to each side of the equation.
37 + -37 + -2x = 5 + -37

Combine like terms: 37 + -37 = 0
0 + -2x = 5 + -37
-2x = 5 + -37

Combine like terms: 5 + -37 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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