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

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


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

Reorder the terms:
5(-1 + 2x) + 7 = 6(x + 2) + -4 + x
(-1 * 5 + 2x * 5) + 7 = 6(x + 2) + -4 + x
(-5 + 10x) + 7 = 6(x + 2) + -4 + x

Reorder the terms:
-5 + 7 + 10x = 6(x + 2) + -4 + x

Combine like terms: -5 + 7 = 2
2 + 10x = 6(x + 2) + -4 + x

Reorder the terms:
2 + 10x = 6(2 + x) + -4 + x
2 + 10x = (2 * 6 + x * 6) + -4 + x
2 + 10x = (12 + 6x) + -4 + x

Reorder the terms:
2 + 10x = 12 + -4 + 6x + x

Combine like terms: 12 + -4 = 8
2 + 10x = 8 + 6x + x

Combine like terms: 6x + x = 7x
2 + 10x = 8 + 7x

Solving
2 + 10x = 8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 10x + -7x = 8 + 7x + -7x

Combine like terms: 10x + -7x = 3x
2 + 3x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + 3x = 8 + 0
2 + 3x = 8

Add '-2' to each side of the equation.
2 + -2 + 3x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 8 + -2
3x = 8 + -2

Combine like terms: 8 + -2 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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