5(x+3)-(4x-11)=3x-2(-1+5x)

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Solution for 5(x+3)-(4x-11)=3x-2(-1+5x) equation:


Simplifying
5(x + 3) + -1(4x + -11) = 3x + -2(-1 + 5x)

Reorder the terms:
5(3 + x) + -1(4x + -11) = 3x + -2(-1 + 5x)
(3 * 5 + x * 5) + -1(4x + -11) = 3x + -2(-1 + 5x)
(15 + 5x) + -1(4x + -11) = 3x + -2(-1 + 5x)

Reorder the terms:
15 + 5x + -1(-11 + 4x) = 3x + -2(-1 + 5x)
15 + 5x + (-11 * -1 + 4x * -1) = 3x + -2(-1 + 5x)
15 + 5x + (11 + -4x) = 3x + -2(-1 + 5x)

Reorder the terms:
15 + 11 + 5x + -4x = 3x + -2(-1 + 5x)

Combine like terms: 15 + 11 = 26
26 + 5x + -4x = 3x + -2(-1 + 5x)

Combine like terms: 5x + -4x = 1x
26 + 1x = 3x + -2(-1 + 5x)
26 + 1x = 3x + (-1 * -2 + 5x * -2)
26 + 1x = 3x + (2 + -10x)

Reorder the terms:
26 + 1x = 2 + 3x + -10x

Combine like terms: 3x + -10x = -7x
26 + 1x = 2 + -7x

Solving
26 + 1x = 2 + -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.
26 + 1x + 7x = 2 + -7x + 7x

Combine like terms: 1x + 7x = 8x
26 + 8x = 2 + -7x + 7x

Combine like terms: -7x + 7x = 0
26 + 8x = 2 + 0
26 + 8x = 2

Add '-26' to each side of the equation.
26 + -26 + 8x = 2 + -26

Combine like terms: 26 + -26 = 0
0 + 8x = 2 + -26
8x = 2 + -26

Combine like terms: 2 + -26 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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