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

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


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

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

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

Reorder the terms:
7 + 4x = 3(7 + x) + -9x
7 + 4x = (7 * 3 + x * 3) + -9x
7 + 4x = (21 + 3x) + -9x

Combine like terms: 3x + -9x = -6x
7 + 4x = 21 + -6x

Solving
7 + 4x = 21 + -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 = 21 + -6x + 6x

Combine like terms: 4x + 6x = 10x
7 + 10x = 21 + -6x + 6x

Combine like terms: -6x + 6x = 0
7 + 10x = 21 + 0
7 + 10x = 21

Add '-7' to each side of the equation.
7 + -7 + 10x = 21 + -7

Combine like terms: 7 + -7 = 0
0 + 10x = 21 + -7
10x = 21 + -7

Combine like terms: 21 + -7 = 14
10x = 14

Divide each side by '10'.
x = 1.4

Simplifying
x = 1.4

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