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

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


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

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

Combine like terms: 2x + x = 3x
-7 + 3x = 4(2x + 7) + 5

Reorder the terms:
-7 + 3x = 4(7 + 2x) + 5
-7 + 3x = (7 * 4 + 2x * 4) + 5
-7 + 3x = (28 + 8x) + 5

Reorder the terms:
-7 + 3x = 28 + 5 + 8x

Combine like terms: 28 + 5 = 33
-7 + 3x = 33 + 8x

Solving
-7 + 3x = 33 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-7 + 3x + -8x = 33 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-7 + -5x = 33 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -5x = 33 + 0
-7 + -5x = 33

Add '7' to each side of the equation.
-7 + 7 + -5x = 33 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 33 + 7
-5x = 33 + 7

Combine like terms: 33 + 7 = 40
-5x = 40

Divide each side by '-5'.
x = -8

Simplifying
x = -8

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