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

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


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

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

Reorder the terms:
2 + 7x = -3(-4 + 3x)
2 + 7x = (-4 * -3 + 3x * -3)
2 + 7x = (12 + -9x)

Solving
2 + 7x = 12 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
2 + 7x + 9x = 12 + -9x + 9x

Combine like terms: 7x + 9x = 16x
2 + 16x = 12 + -9x + 9x

Combine like terms: -9x + 9x = 0
2 + 16x = 12 + 0
2 + 16x = 12

Add '-2' to each side of the equation.
2 + -2 + 16x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 16x = 12 + -2
16x = 12 + -2

Combine like terms: 12 + -2 = 10
16x = 10

Divide each side by '16'.
x = 0.625

Simplifying
x = 0.625

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