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

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


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

Reorder the terms:
7 + 2x = 3(4 + -1x) + -10
7 + 2x = (4 * 3 + -1x * 3) + -10
7 + 2x = (12 + -3x) + -10

Reorder the terms:
7 + 2x = 12 + -10 + -3x

Combine like terms: 12 + -10 = 2
7 + 2x = 2 + -3x

Solving
7 + 2x = 2 + -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.
7 + 2x + 3x = 2 + -3x + 3x

Combine like terms: 2x + 3x = 5x
7 + 5x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 5x = 2 + 0
7 + 5x = 2

Add '-7' to each side of the equation.
7 + -7 + 5x = 2 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 2 + -7
5x = 2 + -7

Combine like terms: 2 + -7 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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