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

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


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

Reorder the terms:
4(-1 + 2x) + 6 = 7x + -3(x + 1)
(-1 * 4 + 2x * 4) + 6 = 7x + -3(x + 1)
(-4 + 8x) + 6 = 7x + -3(x + 1)

Reorder the terms:
-4 + 6 + 8x = 7x + -3(x + 1)

Combine like terms: -4 + 6 = 2
2 + 8x = 7x + -3(x + 1)

Reorder the terms:
2 + 8x = 7x + -3(1 + x)
2 + 8x = 7x + (1 * -3 + x * -3)
2 + 8x = 7x + (-3 + -3x)

Reorder the terms:
2 + 8x = -3 + 7x + -3x

Combine like terms: 7x + -3x = 4x
2 + 8x = -3 + 4x

Solving
2 + 8x = -3 + 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.
2 + 8x + -4x = -3 + 4x + -4x

Combine like terms: 8x + -4x = 4x
2 + 4x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 4x = -3 + 0
2 + 4x = -3

Add '-2' to each side of the equation.
2 + -2 + 4x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -3 + -2
4x = -3 + -2

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

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

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