4x-(3x+4)=7x-34

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Solution for 4x-(3x+4)=7x-34 equation:


Simplifying
4x + -1(3x + 4) = 7x + -34

Reorder the terms:
4x + -1(4 + 3x) = 7x + -34
4x + (4 * -1 + 3x * -1) = 7x + -34
4x + (-4 + -3x) = 7x + -34

Reorder the terms:
-4 + 4x + -3x = 7x + -34

Combine like terms: 4x + -3x = 1x
-4 + 1x = 7x + -34

Reorder the terms:
-4 + 1x = -34 + 7x

Solving
-4 + 1x = -34 + 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.
-4 + 1x + -7x = -34 + 7x + -7x

Combine like terms: 1x + -7x = -6x
-4 + -6x = -34 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -6x = -34 + 0
-4 + -6x = -34

Add '4' to each side of the equation.
-4 + 4 + -6x = -34 + 4

Combine like terms: -4 + 4 = 0
0 + -6x = -34 + 4
-6x = -34 + 4

Combine like terms: -34 + 4 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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