1+3(2x+7)-5x+3=4(x-5)+6

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Solution for 1+3(2x+7)-5x+3=4(x-5)+6 equation:


Simplifying
1 + 3(2x + 7) + -5x + 3 = 4(x + -5) + 6

Reorder the terms:
1 + 3(7 + 2x) + -5x + 3 = 4(x + -5) + 6
1 + (7 * 3 + 2x * 3) + -5x + 3 = 4(x + -5) + 6
1 + (21 + 6x) + -5x + 3 = 4(x + -5) + 6

Reorder the terms:
1 + 21 + 3 + 6x + -5x = 4(x + -5) + 6

Combine like terms: 1 + 21 = 22
22 + 3 + 6x + -5x = 4(x + -5) + 6

Combine like terms: 22 + 3 = 25
25 + 6x + -5x = 4(x + -5) + 6

Combine like terms: 6x + -5x = 1x
25 + 1x = 4(x + -5) + 6

Reorder the terms:
25 + 1x = 4(-5 + x) + 6
25 + 1x = (-5 * 4 + x * 4) + 6
25 + 1x = (-20 + 4x) + 6

Reorder the terms:
25 + 1x = -20 + 6 + 4x

Combine like terms: -20 + 6 = -14
25 + 1x = -14 + 4x

Solving
25 + 1x = -14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
25 + 1x + -4x = -14 + 4x + -4x

Combine like terms: 1x + -4x = -3x
25 + -3x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
25 + -3x = -14 + 0
25 + -3x = -14

Add '-25' to each side of the equation.
25 + -25 + -3x = -14 + -25

Combine like terms: 25 + -25 = 0
0 + -3x = -14 + -25
-3x = -14 + -25

Combine like terms: -14 + -25 = -39
-3x = -39

Divide each side by '-3'.
x = 13

Simplifying
x = 13

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