7x-3x+7=3(x-4)-9x

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Solution for 7x-3x+7=3(x-4)-9x equation:


Simplifying
7x + -3x + 7 = 3(x + -4) + -9x

Reorder the terms:
7 + 7x + -3x = 3(x + -4) + -9x

Combine like terms: 7x + -3x = 4x
7 + 4x = 3(x + -4) + -9x

Reorder the terms:
7 + 4x = 3(-4 + x) + -9x
7 + 4x = (-4 * 3 + x * 3) + -9x
7 + 4x = (-12 + 3x) + -9x

Combine like terms: 3x + -9x = -6x
7 + 4x = -12 + -6x

Solving
7 + 4x = -12 + -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 + 4x + 6x = -12 + -6x + 6x

Combine like terms: 4x + 6x = 10x
7 + 10x = -12 + -6x + 6x

Combine like terms: -6x + 6x = 0
7 + 10x = -12 + 0
7 + 10x = -12

Add '-7' to each side of the equation.
7 + -7 + 10x = -12 + -7

Combine like terms: 7 + -7 = 0
0 + 10x = -12 + -7
10x = -12 + -7

Combine like terms: -12 + -7 = -19
10x = -19

Divide each side by '10'.
x = -1.9

Simplifying
x = -1.9

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