(x+4)-(2x+3)=4x-34

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Solution for (x+4)-(2x+3)=4x-34 equation: 


Simplifying
(x + 4) + -1(2x + 3) = 4x + -34

Reorder the terms:
(4 + x) + -1(2x + 3) = 4x + -34

Remove parenthesis around (4 + x)
4 + x + -1(2x + 3) = 4x + -34

Reorder the terms:
4 + x + -1(3 + 2x) = 4x + -34
4 + x + (3 * -1 + 2x * -1) = 4x + -34
4 + x + (-3 + -2x) = 4x + -34

Reorder the terms:
4 + -3 + x + -2x = 4x + -34

Combine like terms: 4 + -3 = 1
1 + x + -2x = 4x + -34

Combine like terms: x + -2x = -1x
1 + -1x = 4x + -34

Reorder the terms:
1 + -1x = -34 + 4x

Solving
1 + -1x = -34 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1 + -1x + -4x = -34 + 4x + -4x

Combine like terms: -1x + -4x = -5x
1 + -5x = -34 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -5x = -34 + 0
1 + -5x = -34

Add '-1' to each side of the equation.
1 + -1 + -5x = -34 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = -34 + -1
-5x = -34 + -1

Combine like terms: -34 + -1 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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