5x-3(2x+1)-4=6x+3+4

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Solution for 5x-3(2x+1)-4=6x+3+4 equation:


Simplifying
5x + -3(2x + 1) + -4 = 6x + 3 + 4

Reorder the terms:
5x + -3(1 + 2x) + -4 = 6x + 3 + 4
5x + (1 * -3 + 2x * -3) + -4 = 6x + 3 + 4
5x + (-3 + -6x) + -4 = 6x + 3 + 4

Reorder the terms:
-3 + -4 + 5x + -6x = 6x + 3 + 4

Combine like terms: -3 + -4 = -7
-7 + 5x + -6x = 6x + 3 + 4

Combine like terms: 5x + -6x = -1x
-7 + -1x = 6x + 3 + 4

Reorder the terms:
-7 + -1x = 3 + 4 + 6x

Combine like terms: 3 + 4 = 7
-7 + -1x = 7 + 6x

Solving
-7 + -1x = 7 + 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.
-7 + -1x + -6x = 7 + 6x + -6x

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

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

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

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

Combine like terms: 7 + 7 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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