7x-4(2x+3)=3(5x-2)-6

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Solution for 7x-4(2x+3)=3(5x-2)-6 equation:


Simplifying
7x + -4(2x + 3) = 3(5x + -2) + -6

Reorder the terms:
7x + -4(3 + 2x) = 3(5x + -2) + -6
7x + (3 * -4 + 2x * -4) = 3(5x + -2) + -6
7x + (-12 + -8x) = 3(5x + -2) + -6

Reorder the terms:
-12 + 7x + -8x = 3(5x + -2) + -6

Combine like terms: 7x + -8x = -1x
-12 + -1x = 3(5x + -2) + -6

Reorder the terms:
-12 + -1x = 3(-2 + 5x) + -6
-12 + -1x = (-2 * 3 + 5x * 3) + -6
-12 + -1x = (-6 + 15x) + -6

Reorder the terms:
-12 + -1x = -6 + -6 + 15x

Combine like terms: -6 + -6 = -12
-12 + -1x = -12 + 15x

Add '12' to each side of the equation.
-12 + 12 + -1x = -12 + 12 + 15x

Combine like terms: -12 + 12 = 0
0 + -1x = -12 + 12 + 15x
-1x = -12 + 12 + 15x

Combine like terms: -12 + 12 = 0
-1x = 0 + 15x
-1x = 15x

Solving
-1x = 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-1x + -15x = 15x + -15x

Combine like terms: -1x + -15x = -16x
-16x = 15x + -15x

Combine like terms: 15x + -15x = 0
-16x = 0

Divide each side by '-16'.
x = 0

Simplifying
x = 0

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