7(4x-9)-8(3-9x)+5(-3x+4)=-7(8-7x)

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Solution for 7(4x-9)-8(3-9x)+5(-3x+4)=-7(8-7x) equation:


Simplifying
7(4x + -9) + -8(3 + -9x) + 5(-3x + 4) = -7(8 + -7x)

Reorder the terms:
7(-9 + 4x) + -8(3 + -9x) + 5(-3x + 4) = -7(8 + -7x)
(-9 * 7 + 4x * 7) + -8(3 + -9x) + 5(-3x + 4) = -7(8 + -7x)
(-63 + 28x) + -8(3 + -9x) + 5(-3x + 4) = -7(8 + -7x)
-63 + 28x + (3 * -8 + -9x * -8) + 5(-3x + 4) = -7(8 + -7x)
-63 + 28x + (-24 + 72x) + 5(-3x + 4) = -7(8 + -7x)

Reorder the terms:
-63 + 28x + -24 + 72x + 5(4 + -3x) = -7(8 + -7x)
-63 + 28x + -24 + 72x + (4 * 5 + -3x * 5) = -7(8 + -7x)
-63 + 28x + -24 + 72x + (20 + -15x) = -7(8 + -7x)

Reorder the terms:
-63 + -24 + 20 + 28x + 72x + -15x = -7(8 + -7x)

Combine like terms: -63 + -24 = -87
-87 + 20 + 28x + 72x + -15x = -7(8 + -7x)

Combine like terms: -87 + 20 = -67
-67 + 28x + 72x + -15x = -7(8 + -7x)

Combine like terms: 28x + 72x = 100x
-67 + 100x + -15x = -7(8 + -7x)

Combine like terms: 100x + -15x = 85x
-67 + 85x = -7(8 + -7x)
-67 + 85x = (8 * -7 + -7x * -7)
-67 + 85x = (-56 + 49x)

Solving
-67 + 85x = -56 + 49x

Solving for variable 'x'.

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

Add '-49x' to each side of the equation.
-67 + 85x + -49x = -56 + 49x + -49x

Combine like terms: 85x + -49x = 36x
-67 + 36x = -56 + 49x + -49x

Combine like terms: 49x + -49x = 0
-67 + 36x = -56 + 0
-67 + 36x = -56

Add '67' to each side of the equation.
-67 + 67 + 36x = -56 + 67

Combine like terms: -67 + 67 = 0
0 + 36x = -56 + 67
36x = -56 + 67

Combine like terms: -56 + 67 = 11
36x = 11

Divide each side by '36'.
x = 0.3055555556

Simplifying
x = 0.3055555556

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