7(x+10)+x=3(x+4)-5

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Solution for 7(x+10)+x=3(x+4)-5 equation: 


Simplifying
7(x + 10) + x = 3(x + 4) + -5

Reorder the terms:
7(10 + x) + x = 3(x + 4) + -5
(10 * 7 + x * 7) + x = 3(x + 4) + -5
(70 + 7x) + x = 3(x + 4) + -5

Combine like terms: 7x + x = 8x
70 + 8x = 3(x + 4) + -5

Reorder the terms:
70 + 8x = 3(4 + x) + -5
70 + 8x = (4 * 3 + x * 3) + -5
70 + 8x = (12 + 3x) + -5

Reorder the terms:
70 + 8x = 12 + -5 + 3x

Combine like terms: 12 + -5 = 7
70 + 8x = 7 + 3x

Solving
70 + 8x = 7 + 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.
70 + 8x + -3x = 7 + 3x + -3x

Combine like terms: 8x + -3x = 5x
70 + 5x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
70 + 5x = 7 + 0
70 + 5x = 7

Add '-70' to each side of the equation.
70 + -70 + 5x = 7 + -70

Combine like terms: 70 + -70 = 0
0 + 5x = 7 + -70
5x = 7 + -70

Combine like terms: 7 + -70 = -63
5x = -63

Divide each side by '5'.
x = -12.6

Simplifying
x = -12.6

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