4x+3(2x+1)=8(7x-6)+5

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Solution for 4x+3(2x+1)=8(7x-6)+5 equation:


Simplifying
4x + 3(2x + 1) = 8(7x + -6) + 5

Reorder the terms:
4x + 3(1 + 2x) = 8(7x + -6) + 5
4x + (1 * 3 + 2x * 3) = 8(7x + -6) + 5
4x + (3 + 6x) = 8(7x + -6) + 5

Reorder the terms:
3 + 4x + 6x = 8(7x + -6) + 5

Combine like terms: 4x + 6x = 10x
3 + 10x = 8(7x + -6) + 5

Reorder the terms:
3 + 10x = 8(-6 + 7x) + 5
3 + 10x = (-6 * 8 + 7x * 8) + 5
3 + 10x = (-48 + 56x) + 5

Reorder the terms:
3 + 10x = -48 + 5 + 56x

Combine like terms: -48 + 5 = -43
3 + 10x = -43 + 56x

Solving
3 + 10x = -43 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
3 + 10x + -56x = -43 + 56x + -56x

Combine like terms: 10x + -56x = -46x
3 + -46x = -43 + 56x + -56x

Combine like terms: 56x + -56x = 0
3 + -46x = -43 + 0
3 + -46x = -43

Add '-3' to each side of the equation.
3 + -3 + -46x = -43 + -3

Combine like terms: 3 + -3 = 0
0 + -46x = -43 + -3
-46x = -43 + -3

Combine like terms: -43 + -3 = -46
-46x = -46

Divide each side by '-46'.
x = 1

Simplifying
x = 1

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