5x+3+4x+10-1=5(2x+2)-4

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Solution for 5x+3+4x+10-1=5(2x+2)-4 equation: 


Simplifying
5x + 3 + 4x + 10 + -1 = 5(2x + 2) + -4

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

Combine like terms: 3 + 10 = 13
13 + -1 + 5x + 4x = 5(2x + 2) + -4

Combine like terms: 13 + -1 = 12
12 + 5x + 4x = 5(2x + 2) + -4

Combine like terms: 5x + 4x = 9x
12 + 9x = 5(2x + 2) + -4

Reorder the terms:
12 + 9x = 5(2 + 2x) + -4
12 + 9x = (2 * 5 + 2x * 5) + -4
12 + 9x = (10 + 10x) + -4

Reorder the terms:
12 + 9x = 10 + -4 + 10x

Combine like terms: 10 + -4 = 6
12 + 9x = 6 + 10x

Solving
12 + 9x = 6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 9x + -10x = 6 + 10x + -10x

Combine like terms: 9x + -10x = -1x
12 + -1x = 6 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -1x = 6 + 0
12 + -1x = 6

Add '-12' to each side of the equation.
12 + -12 + -1x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 6 + -12
-1x = 6 + -12

Combine like terms: 6 + -12 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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