x+7=10+3x-6

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Solution for x+7=10+3x-6 equation:


Simplifying
x + 7 = 10 + 3x + -6

Reorder the terms:
7 + x = 10 + 3x + -6

Reorder the terms:
7 + x = 10 + -6 + 3x

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

Solving
7 + x = 4 + 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 + x + -3x = 4 + 3x + -3x

Combine like terms: x + -3x = -2x
7 + -2x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -2x = 4 + 0
7 + -2x = 4

Add '-7' to each side of the equation.
7 + -7 + -2x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 4 + -7
-2x = 4 + -7

Combine like terms: 4 + -7 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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