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

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


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

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

Remove parenthesis around (3 + 4x)
3 + 4x + (2x + 4) = 7x + -4

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

Remove parenthesis around (4 + 2x)
3 + 4x + 4 + 2x = 7x + -4

Reorder the terms:
3 + 4 + 4x + 2x = 7x + -4

Combine like terms: 3 + 4 = 7
7 + 4x + 2x = 7x + -4

Combine like terms: 4x + 2x = 6x
7 + 6x = 7x + -4

Reorder the terms:
7 + 6x = -4 + 7x

Solving
7 + 6x = -4 + 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.
7 + 6x + -7x = -4 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
7 + -1x = -4 + 0
7 + -1x = -4

Add '-7' to each side of the equation.
7 + -7 + -1x = -4 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -4 + -7
-1x = -4 + -7

Combine like terms: -4 + -7 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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