7(2x+4)-10+x=10-(-3x+4)

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Solution for 7(2x+4)-10+x=10-(-3x+4) equation:


Simplifying
7(2x + 4) + -10 + x = 10 + -1(-3x + 4)

Reorder the terms:
7(4 + 2x) + -10 + x = 10 + -1(-3x + 4)
(4 * 7 + 2x * 7) + -10 + x = 10 + -1(-3x + 4)
(28 + 14x) + -10 + x = 10 + -1(-3x + 4)

Reorder the terms:
28 + -10 + 14x + x = 10 + -1(-3x + 4)

Combine like terms: 28 + -10 = 18
18 + 14x + x = 10 + -1(-3x + 4)

Combine like terms: 14x + x = 15x
18 + 15x = 10 + -1(-3x + 4)

Reorder the terms:
18 + 15x = 10 + -1(4 + -3x)
18 + 15x = 10 + (4 * -1 + -3x * -1)
18 + 15x = 10 + (-4 + 3x)

Combine like terms: 10 + -4 = 6
18 + 15x = 6 + 3x

Solving
18 + 15x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
18 + 15x + -3x = 6 + 3x + -3x

Combine like terms: 15x + -3x = 12x
18 + 12x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + 12x = 6 + 0
18 + 12x = 6

Add '-18' to each side of the equation.
18 + -18 + 12x = 6 + -18

Combine like terms: 18 + -18 = 0
0 + 12x = 6 + -18
12x = 6 + -18

Combine like terms: 6 + -18 = -12
12x = -12

Divide each side by '12'.
x = -1

Simplifying
x = -1

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