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

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


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

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

Reorder the terms:
3 + x = 2(-4 + x) + 7
3 + x = (-4 * 2 + x * 2) + 7
3 + x = (-8 + 2x) + 7

Reorder the terms:
3 + x = -8 + 7 + 2x

Combine like terms: -8 + 7 = -1
3 + x = -1 + 2x

Solving
3 + x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + x + -2x = -1 + 2x + -2x

Combine like terms: x + -2x = -1x
3 + -1x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -1x = -1 + 0
3 + -1x = -1

Add '-3' to each side of the equation.
3 + -3 + -1x = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -1 + -3
-1x = -1 + -3

Combine like terms: -1 + -3 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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