-2(x+3.5)+4(2x-1)=7x-5(2x+3)

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Solution for -2(x+3.5)+4(2x-1)=7x-5(2x+3) equation:


Simplifying
-2(x + 3.5) + 4(2x + -1) = 7x + -5(2x + 3)

Reorder the terms:
-2(3.5 + x) + 4(2x + -1) = 7x + -5(2x + 3)
(3.5 * -2 + x * -2) + 4(2x + -1) = 7x + -5(2x + 3)
(-7 + -2x) + 4(2x + -1) = 7x + -5(2x + 3)

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

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

Combine like terms: -7 + -4 = -11
-11 + -2x + 8x = 7x + -5(2x + 3)

Combine like terms: -2x + 8x = 6x
-11 + 6x = 7x + -5(2x + 3)

Reorder the terms:
-11 + 6x = 7x + -5(3 + 2x)
-11 + 6x = 7x + (3 * -5 + 2x * -5)
-11 + 6x = 7x + (-15 + -10x)

Reorder the terms:
-11 + 6x = -15 + 7x + -10x

Combine like terms: 7x + -10x = -3x
-11 + 6x = -15 + -3x

Solving
-11 + 6x = -15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-11 + 6x + 3x = -15 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-11 + 9x = -15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-11 + 9x = -15 + 0
-11 + 9x = -15

Add '11' to each side of the equation.
-11 + 11 + 9x = -15 + 11

Combine like terms: -11 + 11 = 0
0 + 9x = -15 + 11
9x = -15 + 11

Combine like terms: -15 + 11 = -4
9x = -4

Divide each side by '9'.
x = -0.4444444444

Simplifying
x = -0.4444444444

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