1x+3=7-2(x-5)+4x

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Solution for 1x+3=7-2(x-5)+4x equation:


Simplifying
1x + 3 = 7 + -2(x + -5) + 4x

Reorder the terms:
3 + 1x = 7 + -2(x + -5) + 4x

Reorder the terms:
3 + 1x = 7 + -2(-5 + x) + 4x
3 + 1x = 7 + (-5 * -2 + x * -2) + 4x
3 + 1x = 7 + (10 + -2x) + 4x

Combine like terms: 7 + 10 = 17
3 + 1x = 17 + -2x + 4x

Combine like terms: -2x + 4x = 2x
3 + 1x = 17 + 2x

Solving
3 + 1x = 17 + 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 + 1x + -2x = 17 + 2x + -2x

Combine like terms: 1x + -2x = -1x
3 + -1x = 17 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -1x = 17 + 0
3 + -1x = 17

Add '-3' to each side of the equation.
3 + -3 + -1x = 17 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 17 + -3
-1x = 17 + -3

Combine like terms: 17 + -3 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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